Have you considered flying with your pet on Southwest Airlines? Following that, you can learn everything there is to know about the Southwest Pet Policy. The pet policy covers a service dog, an emotional support animal, and the maximum size of a dog that can fly in the cabin. Yes! You can travel with your pets both domestically and internationally. Do you know the dimensions of pet carriers, kennels, and cargo for dogs, cats, and birds? This website contains all of the information about Southwest Airlines' pet policy.