Having to cancel your holiday plans is bad enough, but having to cancel your reservations is much worse. You are not, however, obligated to finish it. Simply phone our customer service hotline to inform us of your reservation, and we'll take care of the rest. Any Southwest Airlines flight ticket can be canceled both online and offline. There is a customer service theme to the airline, and you may contact someone from Southwest Airlines. To speak with a real agent, call Southwest Airlines' phone number. He'll walk you through the process and do everything he can to make sure your plane tickets are fully reimbursed.