Does frontier airlines allow pets you can bring your pet on Frontier Airlines. Pets allowed in the cabin: small dogs, cats, rabbits, guinea pigs, hamsters, and housefowl as long as they fit in a carrier beneath the seat in front of you. During the whole flight, the pet must stay in the carrier. Pets are not permitted on international flights, and there is a cost for each one-way journey. Pets are not permitted to fly as cargo or checked luggage on Frontier. Without charging extra, service animals are allowed as long as they follow the airline's policies.