Yes, you can cancel a flight and request a refund from American Airlines. To inquire about your refund, call their toll-free number at 1-866-463-2404. If you cancel within 24 hours of booking and your flight is at least 2 days away, you are eligible for a full refund. Note that the 24-hour refund policy does not apply to group bookings. Have your booking information handy for a quicker resolution.