What about a person born in France whose parent are both American citizens?

A person born in France to American citizen parents is typically considered a U.S. citizen by birth, thanks to the principle of jus sanguinis (right of blood) that the United States follows. This means they would generally be eligible for U.S. citizenship regardless of their place of birth. However, they may also hold French citizenship by birth, depending on French nationality laws. It is advisable for such individuals to register their birth with the U.S. embassy or consulate to ensure their citizenship status is recognized.