Can pets travel on flights with Sun Country? The Sun Country Pet Policy allows guests to book accommodations for their dogs at the same time as their reservation. When making a reservation directly through the company's website or by calling their helpline number, this can be done. Pets are permitted on Sun Country flights in the cabin as well, but not as checked bags. There is no cargo option, though. Depending on the size and weight of the pet being transported by plane, the lodging's pet box requirements may differ. Before boarding, it is the traveler's responsibility to tell the airlines of the pet's accurate health information.