The fun way is to jump off and grapple to your argie and whistle it to attack and since argies are slow it won’t catch up in time so tranq till it goes out also bring parachutes and consider liking so more people will know
The easiest way to tame for mobile players is to kill it take its implant make a revival platform build a thatch house around the platform res pawn it knock it out give it meat give it a saddle and if you made the house right when you ride the quetzal he will tellport through the ceiling
If you drop a quetzal due to knockout, and it lands next to a giga...just know, the quetzal belong to the giga. Now you get to watch your would be quetzal get eaten by a giga. Now you can go home and cry.
For some reason on Ark Mobile, it does not allow me to shoot off an Argentavis when grappled. I think that is a bug on my phone. Anyways, I found the easiest way to get a Quetzal is to ride a Tapejara with multiple seats on the saddle, and then go to second seat. When you do this, shoot the Quetzal and use the spy glass to target him. If you keep shooting the Quetzal while it runs, you should not have to whistle passive for your Tapejara. Then, grab some meat and a lot of bio toxin. Boom, you have your new Quetzal.