Coturnix quail would probably get molested by the roos, and a well aimed peck on the head from a chicken could easily kill an adult coturnix quail. I wouldnt do it but that's just me. My coturnix and button quails are separate from my chickens.
Quail need high protein game bird feeds. They also will die at the drop of a hat when mixed with chickens. Normal flora and fauna and chicken poop is more than they can handle. Also as tiny as they are, as flightly as they are, a chicken coop is the last place you want them to be.