A French bulldog died on a United Airlines plane after a flight on their planes as cargo, though some small pets are allowed as carry-ons.). A United Airlines plane headed to St. Louis was diverted to Ohio after a pet had been loaded onto the flight in error. Of the nine dog breeds with the highest incidence of death on these three major airlines, four are brachycephalic breeds that are only allowed on United. Breeds of dogs no longer allowed on United flights include several breeds of Bulldog, Boston Terriers, all kinds of Pugs, Boxer dogs, Shih-Tzus. on Guam with dogs banned by United Airlines may soon not be able to Starting June 18, the new United pet travel policy bans 21 breeds of . VA Now Has Shorter Wait Times Than Private Clinics, AMA Study Claims. On June 18, , United implemented several new policies and customer requirements for pet air transportation to improve the safety of the travel experience. United will also limit animals allowed on flights, banning all emotional- support animals that are not dogs and cats. Service animals, which. United PetSafe offers airport-to-airport travel for cats and dogs traveling . PetSafe Customer Service Center will be able to provide additional. Trained service animals are allowed in the cabin to accompany qualified customers with disabilities. Service animal procedures differ from standard in- cabin pet.