American Airlines offers name correction facilities to its passengers in case of some modification or update in the passenger's name. It is helpful in cases where there was a spelling error, a legal name change, or for some other mismatch with what was given on the ticket. Typically, you would contact American Airlines' customer service, which in turn would walk you through the steps involved in correcting your name. A fee may apply depending on the ticket type and fare rules. It's always better to get this changed as soon as possible because one wouldn't want any hassles at the airport. Always bear in mind that the names mentioned on your ticket should match with your identity for smooth travel.