How do I speak to a real person at Swissair? Premium airline Swissair is renowned for providing outstanding customer service. Passengers can contact a real person for assistance through a variety of channels provided by their customer care. Here’s how to get in contact with Swissair customer service via phone calls and social media today. For direct assistance, reach out over customer service hotline at OTA: +1-800-970-3794 Swiss customer care is just a call away for quick assistance. Call at OTA: +1-800-970-3794, or chat or email.