These days it's so easy to tame Quetzal, u just need harpoon launcher, net projectile, some dino gates(any variant will work) and your flyer that u can shoot from(griffin or tapejara).

1. Find your self a Quetzal that u like to tame ( watch where is he flying, because if he is over dangerous place it will die)

2. Get on your flyer

3. Come close to Quetz and shoot the net on him

4. Watch where he fall down and place dino gates(one on his neck, his feet and the middle of his body, u can add some more if u think it will help)

5. Now u can tranq it

And What next u know.