If they are coturnix (like I have), no worries since they are a non-native species. You may need permits for other breeds. it is hard to find the information. I looked it up at one time and now I can't find it again. I did find this...
" No wildlife park license is required to possess up to 25 privately-owned game birds for up to 60
days, provided that they are being held specifically for release in accordance with #007, #008 and
#009 of these regulations. Up to 25 live ring-necked pheasants, Gambel's quail, scaled quail,
bobwhite quail, chukar, grey partridge or mallard ducks may be possessed and subsequently
released for up to sixty (60) days without a wildlife park license. Such wildlife shall be
accompanied by a receipt showing that the wildlife have been lawfully acquired, to include the
source and the purchase or acquisition date. These birds may only be hunted on the day of
release, and there is no hunting license required. The number of birds taken cannot exceed the
number of birds released. All released birds not taken by hunting on the day of release shall
become property of the state. All hunting must occur on private property. No birds held under the
authority of this section may be released and hunted during any season established for that
species."
So if you were going to raise/keep these breeds you would need a permit.