My bests strategy is to go to the red obelisk and wait a bit but I recommend to get a chain bowler and then fly on a argy set it to passive then wisile attack target and then get out your long neck and shoot tranqs into its face
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.
On rag, use a griffin and tranq darts... you can shoot from the back of the griffin while flying.... Just watch where the Quetzal lands and be prepared to kill the wild dinos round it when it does fall, like so people can see.