Redditor lensoo posted this photo saying a friend of his sent him this image of a flight where a Saudi Prince bought tickets for 80 falcons (technically, he said they were hawks, but Business Insider points out that they were actually falcons as falconry is a popular pastime in the Middle East). It's also relatively common for them to travel on planes in that part of the world.
According to Atlas Obscura, falcons can actually get their own passports for flying in the UAE. The regulations about falcons flying on planes are pretty strange, but also pretty interesting. You can read more about falcons on planes on Business Insider.