I didn't know this when I first started taming or playing the game but if you knock out the quetzal (or any wild flying type in general) and they fall from a great night they won't take any damage. But it is a good idea to plant spikes in a half circle (if low on resources) you can guard the enter and exit spot to access it's inventory and guard it's sides from other hostile wilds without being right there. Happy taming, yes use kibble!

More Quetzal Taming & KO Tips