If you purchase a non-refundable ticket, you are not eligible for a refund after the 24-hour grace period. However, if you cancel a flight earlier, can you cancel an American Airlines flight? Yes, and in fact, you have a variety of options to get the job done. While making travel plans these days can be unpredictable and often out of your control, the airline has simplified policies to add flexibility for passengers. Here's what you need to know about canceling an American Airlines flight.