Southwest Airlines flight cancellations are simple, and the company strives for customer satisfaction at all times. Southwest Cancellation Policy allows you to cancel your flight by phone or online. Southwest flights can be cancelled in two ways: online (through the website or the Southwest app) and offline (by phone). Passengers can select their preferred mode of flight cancellation. You can even reschedule your Southwest travel based on their flight policy or ticket cancellation policy. Southwest Airlines provides these choices 24 hours a day, seven days a week.