How to Change Your Name on a Copa Airlines Ticket ? Passenger name can be changed by contacting Copa customer service at 𝟙-𝟠𝟞𝟞-𝟠𝟛𝟠-𝟜𝟡𝟙𝟘. Minor changes, misspelled name can be done easily but significant changes may required a new ticket. Copa customer service will guide you through the process.