Don't bother finding it. It finds you lol. If you even try to find it then you just wasted time if you didn't find it cuz ARK is pretty much weird. If you found a quetz unprepared then request a flying dino(with decent damage or any flying dino if you really want the quetz) then chase the quetz and kill it then get its implant. After getting the implant then get yourself spawn pod(?) Or spawn it at an obelisk BUT REMEMBER! MAKE A TAMING PEN AROUND THE OBELISK OR WHERE YOU'RE MAKING THE SPAWN POD(?). also while you're doing this, get some amber(for mobile)! Trust me you have alot of time getting amber since the implant expires for about 2.5 days(?)
It's been 4 days since I wistle my argie (lvl 163) to attack that *#$;$\ cause I was thinking I shooted it whit my grappler to try and tame the quetzal but it juste flew away whitout me and since then i haven't seen him anywhere...
Something you can do if you dont wanna go through the pain of knocking it out of the sky is to kill it then respawn it at an obelisk or respawning platform and have a taming cage built around it(that's how I tamed most of my dinos😂)
I Was on a Tapejara and somehow knocked one when I was on lvl57 and that fool quetzal fell and landed in front of a group of allosaurs. That was the first and last quetzal I found in my game😭.... Now search continues but no luck..... #RIPMe