Yes, you can cancel your flight with American Airlines. The airline offers a flexible cancellation policy that allows you to cancel within 24 hours of booking for no fee, as long as your ticket was purchased at least two days prior to departure. After the 24-hour grace period, cancellation fees depend on your ticket type. Refundable tickets can be fully refunded, while non-refundable tickets may incur a charge. For further assistance, visit the American Airlines website or contact their customer service for personalized help.