If you have a Quetz, a 4x4 base/ceiling square with 4 stone dino gates & 1 pillar with ceilings to make a roof over the gates is an excellent trap. Fly so the wild Quetz is between the four doors then jump off and tranq. Just dont move again or it'll fall to the ground.
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.