You are allowed to fly with your ESA if you have an ESA letter. However, every airline has different requirements that you have to comply with. Most of the airlines do not allow the following pets on board such as hedgehogs, ferrets, insects, rodents, snakes, spiders, reptiles, goats, non-household birds (farm poultry, waterfowl, game bird, & birds of prey), and pets with tusks, horns or hooves. Delta Airlines Emotional Support Animal accepts service animals at no extra cost. Other animals are not allowed to board the plane as an ESA under any circumstances.