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
In order to solo tame a quetz, you could use an argentavis and a pulmiscorpius. Just pick up the pulmiscorpius, and do whistle attack target while looking at the quetz, your pulmiscorpius should start attacking the quetz, raising it's torpidity until it is knocked out.
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.
So here is a story once on mobile I found one I am playing solo so I go and gear up for the tame it takes me from the swamp to the winter biome to the redwood to the north beach to the south beach back to the swamp I finally bring it down over the swamp instantly it gets attacked by a spino I am on a pterronadon I try to lead it away and I lost both my beloved pterronadon and the quezt so my tip be careful where you bring one down
The Quetzal is a behemoth of a creature with base stats that top the charts (health, stamina, weight, and torpor). The Quetzal's platform saddle make it an excellent choice for a mobile air base or even a caravan for transporting and gathering metal and other supplies on harder to reach areas. While its melee strength isn't as high as some might expect, its health and ability to carry weapons make it suitable to use as a war bird. Its preference for Rex Kibble make it difficult to tame, and even more so difficult to knock out in the air.