svarnadi-tiram asthaya
navadvipe janashraye
tatra dvi ja-kulam prapto
bhavishyami janalaye
"I will take birth in a brahmana family in the city of Navadwipa, by the Ganges shore."
bhakti-yoga-pradanaya
lokasyanugrahaya ca
sannyasa-rupam asthaya
krishna-chaitanya-nama-dhrik
"In order to show mercy to the people and engage them in devotional service, I will accept sannyasa. Then My name will be Sri Krishna Chaitanya."
In the Ananta Samhita we find:
svarnadi-tiram ashritya
navadvipe dvijalaye
sampradatum bhakti-yogam
laksyanugrahaya ca
"To show mercy to the people and give them devotional service, the Supreme Personality of Godhead will appear in a brahmana's home in Navadwipa by the Gange's shore."
Then the Lord states:
avatirno bhavishyami
kalau nija-ganaih saha
shaci-garbhe navadvipe
svardhuni-parivarite
"In Kali-yuga I will descend to the earth with My associates. In Navadvipa, which is surrounded by the Ganges, I will take birth in Shachi-devi's womb."
In the Urdhvamnaya Tantra it is mentioned:
kalau purandarat shacyam
gaura-rupo vibhu smritah
"In Kali-yuga I will appear in a golden form as the son of Purandara and Shachi-devi."
In the Krishna-yamala it is stated:
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aham purno bhavishyami
yuga-sandhau visheshatah
mayapure navadvipe
varam ekam shaci-sutah
"During the first sandhya of Kali-yuga I will descend, with all My powers and glories, to Mayapura in Navadwipa and become the son of Shachi-devi."
In the Brahma-yamala:
athavaham dhara-dhamni
bhutva mad-bhakta-rupa-dhrik
mayayam ca bhavishyami
kalau sankirtanagame
"I will appear on the earth in the garb of My Devotee. In the Kali-yuga I will appear in Mayapura to start the sankirtana movement."
kalau prathama-sandhyayam
hari-nama-pradayakah
bhavishyati navadvipe
shaci-garbhe janardanah
"In the first sandhya of Kali-yuga, Lord Krishna will appear in Navadwipa, in Shachi-devi's womb. In that incarnation He will teach the chanting of Lord Hari's Holy Names."
In the Ananta Samhita we find:
gauri shri-radhika devi
harih krishna prakirtitah
ekatvac ca tayoh sakshad
iti gaura-harim viduh
"The golden Goddess Radha is known by the name Gauri and the dark Lord Krishna is known by the name Hari. Aware that both of them have combined, the wise call Him as Gaurahari."
navadvipe tu tah sakhyo
bhakta-rupa-dharah priye
ekangam shri-gaura-harim
sevante satatam muda
"The golden Goddess Radha is known by the name Gauri and the dark Lord Krishna is known by the name Hari. Aware that both of them have combined, the wise call Him as Gaurahari." (In the image: in the middle Lord Sri Krishna Chaitanya, in His right Sri Krishna and in His left Srimati Radharani).
"O beloved, assuming the forms of Devotees the Gopis will also take birth in Navadwipa. With great happiness they will again and again serve Lord Gaurahari, who is Radha and Krishna combined in a single form."
In the Krishna-yamala we further find:
iti matva kripa-sindhur
amshena kripaya harih
prasanno bhakta-rupena
kalav avatarishyati
"Thinking in this way, Lord Krishna, who is an ocean of mercy, mercifully decided to appear as a Devotee in Kali-yuga."
gaurango nada-gambhirah
sva-namamrita-lalasah
dayaluh kirtana-grahi
bhavishyati shaci-sutah
"His limbs will be golden and His voice deep. He will be very merciful. He will yearn to taste the nectar of His own Holy Name. He will be attached to chanting His own Holy Name. He will be the son of Shachi-devi."
In the Jaimini-bharata it is said:
anyavatara bahavah
sarve sadharana matah
kalau krishnavataras tu
gudhah sannyasa-vesha-dhrik
"Lord Krishna descends to the world in many different forms. However in Kali-yuga, His incarnation is hidden. At that time He appears disguised as a sannyasi."
In the Yoga-vashishtha we find:
kaleh prathama-sandhyayam
gaurango 'sau mahi-tale
bhagirathi-tate ramye
bhavishyati sanatanah
"In the first sandhya of Kali-yuga, on the earth, by the beautiful shore of the Ganges, the Lord will appear in His eternal golden form."
In the Skanda Purana:
antah krishna bahir gaurah
sangopangastra-parshadah
shaci-garbhe samapnuyam
maya-manusha-karma-krit
"Outwardly of golden complexion, but inwardly Krishna, I will take My birth in the womb of Shachi-devi. Accompanied by My associates, servants, weapons, and confidential companions, I will assume the role of a human being."
In the Kapila Tantra we find the following statements:
kvacit sapi krishnam aha
shrinu mad-vacanam priya
bhavata ca sahaikatmyam
icchami bhavitum prabho
mama bhavanvitam rupam
hridayahlada-karanam
parasparanga-madhya-stham
krida-kautuka-mangalam
paraspara-svabhavadhyam
rupam ekam pradarshaya
shrutva tu preyasi-vakyam
parama-priti-suchakam
svecchayasid yatha purvam
utsahena jagad-guruh
premalingana-yogena
hy acintya-shakti-yogatah
radha-bhava-kanti-yuktam
murtim ekam prakasayan
svapne tu darshayam asa
radhikayai svayam prabhuh
"Then Sri Radha said to Lord Krishna: O beloved, please hear My words. I yearn to become one with you. Please show a form where You and I embrace and Our two bodies become one, a form filled with the love I bear for You, a form filled with auspicious and blissful pastimes, a form that brings bliss to the heart, a form that unites Our two natures.'
"Hearing His beloved's words, which were filled with joy and love, Lord Krishna passionately embraced Her. Then by the touch of His inconceivable potency Their two forms joined and became one, a single form endowed with Sri Radha's divine love and glorious splendour. In a dream Lord Krishna showed all this to Sri Radha."
Other direct references are found in the Vishvasara Tantra, Kularnava Tantra, Brahma-rahasya, and Vishnu-yamala. Besides these there are complete chapters about Sri Chaitanya's incarnation in the Vayu Purana and Bhavishya Purana, which are too long to quote here. Also there is a text by the name Chaitanya Upanishad within the Atharva Veda, which explains the Lord's incarnation in Kali-yuga. I have not cited it here, as it was rediscovered in recent times, so most people will reject it's authenticity, or at least its value as evidence.
Sri Chaitanya's incarnation was a hidden incarnation, thus He burried references to His appearance deep within the ocean of vedic texts. His desire was that His disguise would not be betrayed, so He made sure these references would remain hidden until after His incarnation was complete. These text's were always present, but by the inconceivable yoga-maya of the Lord, He covered His true identity even from the Vedic scholars and panditas. Only the pure devotees understood His actual identity.
In the Ananta Samhita we find this very relevant statement regarding Sri Chaitanya's incarnation:
aprakashyam idam guhyam
na prakashyam bahir mukhe
bhaktavataram bhaktakhyam
bhaktam bhakti-pradam svayam
man-maya-mohitah kecin
na jnasyanti bahir-mukhah
jnasyanti mad-bhakti-yuktah
sadhavo nyasino 'malah
"Those who are bewildered by My illusory potency will not understand the great secret of My appearance in this world in My personal form, in My form as the incarnation of a Devotee, in My form bearing the name of a Devotee, in My form as a Devotee, and in My form as the giver of devotional service. This secret is not to be revealed to them. Only the saintly, pure, renounced Devotees, diligently engaged in My devotional service, will be able to understand Me in these forms."