Delta Airlines has revealed a new pet fee policy that allows passengers with proof of vaccinations to travel with their pets in the airlines. travelers are allowed to transport their loved pets on board which include cats, dogs and hamsters. Delta airlines is dedicated to providing the best possible travel experience for its customers, including pets. delta airlines is committed to providing safe and enjoyable travel for everyone, including our furry friends. If you have any questions about Delta Airlines Pet Fee, please contact customer service before traveling by calling.