If you have access to a snow owl this will work. Bring four regular Dino gates ( metal stone wood whatever, it doesn’t matter), and bring your tranq rifle. Fly above the quetzal with the owl and freeze it. You and the quetzal will fall down to the ground. Then, quickly place the gates around it so that it can’t get out. Don’t waste time trying to make it look like a trap, just place gates around it so it can’t move. Then tranq it out, feed it, and voila you have a quetzal