That's a button quail. It's very difficult to tame one of those, so people normally keep them simply because they're cute. They are usually kept in pairs. These birds need to be kept at around room temperature. Feeding these can be a little tricky. They need more protein than parrots, so I would buy some game bird food (20% protein+). You probably won't find it at a pet store, so try a store like Tractor Supply. You may need to grind up the food because of how small the little guys are. They are ground birds and do not perch, so I would get him an enclosure with some places to hide and a solid bottom. While they can't fly very well, they will fly straight up very quickly and potentially hit their heads when startled (might want to put padding on the cage roof). Hope some of this helps. I don't currently have any buttons, but I ordered some eggs online and I'm putting them in my incubator today. This is all just information I've found through researching them.
(Just noticed when this was originally posted, haha. Well, can't hurt to leave the information here.)