Yet he remains a resident of 1600 Pennsylvania Ave. and no one who can do anything about it will, so I have to assume it doesn’t matter whether a person’s parents were born in America.
And you'd assume correctly.
HOWEVER, The parents must be U.S. Citizens at the time of the potential Presidents birth.
Trump is an example. His mother was born in Scotland, but HAD naturalized prior to the Donalds birth. He is a Natural Born Citizen.