Yes, American Airlines allows changes to a ticket holder's name under certain conditions, but they typically do not allow a full name change. Instead, you can request a "name correction" for minor errors like misspellings. This can often be done without additional fees if the error is clearly due to a typo. However, significant name changes (such as changing the name due to marriage or divorce) may require canceling the original ticket and purchasing a new one, as this may be considered a new booking. It's best to contact American Airlines directly for specific guidance.