After you’ve tamed your first quezt, on PvE, ask another tribe (you provide the resources) to craft a good saddle if you aren’t high enough level yet. Pump nothing but stam into your current one, build a quetzal trap and let the desired tame fly in. Close the trap, knock it out in the air, and you’re good to go. Make sure you bring lots of stimberries and meat so the quetzal doesn’t run out of food or stamina.
If you have any dodo arrows, make a trap (tutorials on YouTube) the shoot the quetzal with the dodo arrows. The quetzal will get triggered at you and lead it to the trap. Up vot so dododex can see this
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.