Use honey by placing it in your hotbar

and then pressing it

it will drop and lure the quetzal to the ground

be quick and place stone dino gates on top of it till its trapped (aim for center mass with the gates)

Keep dropping honey if it loses interest even when its flying even when its on the ground

wall it off with spikes and begin tranqing

easier than chasing it around while your grappled to an argy😂

Dont forget narcotic

P.s found mine (lvl 125 btw:) ) inbetween the 2 snow mountains on the island map