Your bird needs to be able to spread his/her wings open all the way whilst in the cage. He/she also needs enough room to throw his/her head back (birds drink water by scooping it up with their beaks and throwing it back into their throat). These are absolute musts. I'll link some good cages for a green cheek conure down below.


This is the exact cage I have for my green cheek Phoebe. I love it. In my opinion this is one of the best cages you could get.
https://www.amazon.com/Prevue-Produc...cockatiel+cage

Here's a different kind of cage that would be good for a Green cheek conure.
https://www.amazon.com/Prevue-Hendry...5AK2BM5B7&th=1