You might be able to transport your pet in the cargo if it weighs too much to fly in the cabins. The cost of pets is calculated by multiplying the combined weight of the pet and container by the extra luggage fee for the specific track. Shorter flights alone cost at least $140, take less time ($35 on average), and cost $300 per person. Turkish Airlines Pet Travel Fee can range between $70 and $300, with a lengthier trip costing between $75 and $150.