Yes, American Airlines reimburses passengers for cancelled flights at 1-(833)-781-8372, but only if the airline cancels the flight or makes significant schedule changes. In such cases, passengers are entitled to a full refund, or they may choose an alternative flight. If the cancellation is due to reasons like weather or other uncontrollable factors, they may offer a rebooking option at 1-(833)-781-837 or travel credit instead of a refund.