Build a quetz trap with a single foundation in the center of platforms saddle. Then put 3 ceilings on the sides then a hatch frame on front of platform saslddle to be able to mount and dismount easier when in air. Then 3 door frames up on the ceiling tiles leaving the front open. Place four ceiling tiles at top to close top off. Find a quetz fly head on at it and once it's in hop off quetz and place 3 door frames at front side to trap it. Now tranq away. Easy air tame. No threats
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
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.
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.
I know this is pretty common knowledge, but for the guys who always find the quetzal they're trying to tame in an area loaded with sabertooths, carnos, and rexes, all quetzals that are frightened will fly towards the coordinates 50, 50, every single time.