Generally, yes. Ordinances are definitely important. Luckily, coturnix are unregulated in my state. Unluckily, my city has a nuisance law.
In my personal experience they are quiet birds that are loud under certain conditions. About a week after they all went to the outside coop they started crowing... and wouldn't stop. They crowed all hours of the night, which was the big issue. I was concerned, though my neighbors said they couldn't hear it, and we ended up culling most of the males we had at 6 weeks, instead of letting them grow a little more.
Since then the noise has mostly stopped, I almost never notice it unless I'm right in front of them. In fact, the incessant song birds in the trees are louder than my quail. I think it's important to keep a male:female ratio and housing setup that prevents competition between the males. That should help keep the noise down.