Nobody can prove that God exists. God could prove He exists if He chose to do so but obviously God has not chosen to prove He exists because if He did, everyone would believe that God exists.
All we have is evidence because that is all that God provides. Evidence is not proof.
The Messengers of God are the only real evidence that God exists so we have to look at the Messengers in order to know that God exists.
I believe that you are correct when you say that no one can prove that God exists, and I do not believe that anyone can disprove the existence of God either. And this is why I am an agnostic and not an atheist when it concerns the existence of the Christian God. In my opinion, no one, not me, you, or anyone else, can empirically or independently demonstrate whether God or any other god is real or not. No human has ever searched across all of space and time to give verifiable and empirical proof for the existence of deities, since humans lack omniscience, omnipotence, and the capacity to exist everywhere at once. We make decisions on whether or not to believe in gods or the supernatural based on the limited knowledge we have. As I previously stated, I was a Christian and I believed in one God but now I am a Wiccan who believes in multiple deities. However, I am unable to independently and scientifically prove the existence of these deities. By the same token, I am unable to independently and empirically prove whether the Christian God exists or not. And although I am unable to demonstrate the existence of any deities, I still choose to believe because I have my reasons for my spiritual beliefs and I believe in the afterlife. I'm aware that my belief in these deities is only supported by anecdotal evidence and it doesn't satisfy the requirements for empirical and verifiable evidence. Likewise, Christians who say, "God saved me and transformed my life" or "I feel God's presence in my life, so I know he is real," fall short of the standards for empirical and verifiable evidence too.