You can tranquilize a horse if you have to, but you want the horse to acclimate to flying. We find that shipping boots are more comfortable than bandages. The horse can kick in the container. Using a head bumper depends on the horse, if he's jerky with his head. Upon arrival, horses are examined by national veterinarians, usually at the destination airport's equine facility.
Veterinarians review paperwork and treat the passenger for any conditions arising through travel.
Some horses are affected by jet lag. Some people fly to Europe better than others. Thousands of horses traverse the globe every year. With thoughtful planning and attention to details, importers and exporters can successfully ship animals across international borders.