This tip is only if you already have a quetzal available. The easiest way to tame a quetz, is to build a quetz catcher. You can make it out of thatch and its hands down the best tactic. A lot of YouTube videos available on how to build one. Knock it out in the catcher, and you don't have to worry about it getting hit.
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
Put the honey in your hotbar (unstack them, so 1 in each slot)
Fly over him en throw the first honey on it’s body (press the hotkey from the honey and it will throw the honey) It will follow the honey that’s falling. Dino’s on the ground will eat the honey too so keep dropping honey until the quetzal is on the ground eating honey.
Place some dinosaur gates on top of him to get him stuck. Shoot it with tranq arrows and feed some prime meat
If you manage to knock a quetzal out, try starve taming. If you never tried starve taming it’s just leaving a Dino’s hunger go to half way or lower and then you start feeding. I’ve done this many times and it’s very useful taming trick.