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(?)
So... I figured out the exact spots for the spawns 👍 The primary spot is just behind the red obelisk on the thin little strip of land near the southern island. (I almost always see one spawn there) I also find them frequently spawning around the “back spike” of the red obelisk. You will almost always find a quetz around these two places. (At least on mobile) If you want a high level, just kill the one that spawns at these two places and a new one will always respawn back at those two places. This technique worked for me.
I’m a lvl 84 and I’ve only seen these guys about 7 times. I was on my Argy, higher than the tallest redwood tree and I seen them. Yes they like to fly high and they have been watching you tame that lvl 45 dilo.