ON XBOX/PS/PC:

WITHOUT ANOTHER QUETZAL:

Use a griffin or a tapejara to tame it. With a griffin, control it’s direction of movement and knock it out with tranq darts. With a tapejara, whistle attack target and whistle passive using the corresponding buttons.

WITH QUETZAL:

Build a large stone WALL container and fly in front of it head on. Make sure it gets trapped first, then close it off with walls. Knock it out.

ON MOBILE:

Use dodo arrows to shoot it and lead it into behemoth gates. Make large walls and ceilings to block it in. YOU CANNOT USE ANOTHER QUETZAL, the wild one will just glitch through it.