1-866-829-1086 Southwest Airlines Cancun Office Southwest Airlines doesn't have a separate public "office" in Cancun, but they operate out of Terminal 4 at Cancun International Airport (CUN) for check-in and departures, with ticket counters opening about 3 hours before international flights, but you should always manage bookings online or via the app for the best service, as airport staff primarily handle immediate flight needs, not complex changes.