Some ancient cultures elevated their ancestors to the status of minor deities, such as chieftains, shamans, brave warriors or other significant community members. It's possible that your parents' souls are coming to you in a "deity" aspect rather than as a spirit (not really meaning much tbh. The only difference between spirits and deities is that "deity" implies worship and divinity, and "spirit" doesn't, but they can be worshiped and considered divine).
It may also be that twin deities are seeking a relationship with you, such as Freyr and Freyja, who both resided over fertility and health, or Apollo and Artemis, who were known for being excellent healers.
I know what you mean though when you say that you knew that they were deities, even though they were your parents. One time I dreamt of El (I find him to be a quite separate deity from Yahweh). He didn't say that he was and the temple he was in was Hellenic and wasn't Judean. Also, he was a she. He's very warm and kind, he's also very parental, like a mom who fixes your hair and buys your clothes for you. It was all a very sweet dream actually.