American Airlines has a no refund policy for cancellations made more than 72 hours prior to departure. If you are forced to cancel your flight within the 72 hour window, American Airlines will offer a refund for the unused portion of your ticket.
However, there are many restrictions that apply to this policy, so be sure to speak with a customer service representative before making a decision. If you have purchased a travel insurance policy, the company may be able to provide a refund for the cost of the policy.