No, American Airlines does not allow you to change someone's name on a flight ticket. The airline's policy does not permit transferring a ticket to another person or changing the name to someone else after the ticket has been issued.
No Name Transfers: You cannot change the name on a ticket to another person. If you need to change the passenger’s name entirely, the original ticket would need to be canceled and a new one would need to be booked with the correct passenger details.