I recommend to kill it, take its implant, build a big cage, revive it, tranq it and boom, big birdie (only works if you have amber).
Quetzal
The Quetzal is a giant pterosaur and powerful aerial hauler. Its platform saddle can serve as a mobile base for transport and field operations.

How ARK players tame and knock out the Quetzal: what to feed it, what to knock it out with, and how to keep it safe.
Here’s the hard-ish way to tame a quetz
1) Get 4 behemoth gates and 2 behemoth gateways make a trap, the gates must be placed like this: | | | |. Make sure there isnt much space between the gates
2) get dodo arrows
3) shoot the quetz with the dodo arrows and lead it…
Here’s the hard-ish way to tame a quetz
1) Get 4 behemoth gates and 2 behemoth gateways make a trap, the gates must be placed like this: | | | |. Make sure there isnt much space between the gates
2) get dodo arrows
3) shoot the quetz with the dodo arrows and lead it in the trap. (Dodo arrows make creatures agro on you)
4) feed it kibble or whatever you want
5) wait.
6) you got yourself a quetzal