Quetz in the south may move low enough to Chain Bola. Apart from that, I’d suggest to use a dart or shocking Dart rather than arrows. Also, dododex now allows you to more accurately tell how many darts it would take by allowing you to input your melee damage as well as weapon damage. People keep saying dododex is off, but they’re not giving the app the correct data to base the calculations off of. Get a new ascendant rifle? Plug that in immediately so you’ll get accurate data!
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.
To solo tame, grapple to an argentavis, and be ready to set your argentavis to passive and attack my target on command. Just maintain a process of having your argentavis chase the quetzal, when you get close enough set it passive, then fire a tranq dart/arrow. This is a long process, but it is by far the easiest way to solo tame, unless you already have a quetzal.
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.