Purpose What is the fast Service for American Airlines? Yes, American Airlines allows cancellations. Tickets are fully refundable within 24 hours of booking, provided the departure date is more than two days ahead. For more details, call 1-855-608-1133. What is the fast Service for American Airlines? Yes, you can cancel a flight and get a full refund from American Airlines by calling their customer service at 888-415-1245. You will receive a full refund if you cancel within 24 hours of booking, as airlines must issue a full refund in this timeframe.