Contact your county extension office, but, in general, there are two types of quail. "Wildlife" quail (Bobwhites, California, Gambel's, etc.) and backyard quail (coturnix, button.) A lot of the time, rules for the one don't apply to the other. If you're asking people about "quail" you'll get different answers on that basis alone.
Hope that helps.
Also, I refer you to this page:
https://library.municode.com/tx/ennis/codes/code_of_ordinances
It looks pretty straightforward. Search "quail"--
Fowl: Chickens, ducks, swans, guineas, pigeons, pheasants, peacocks, geese, turkeys, quail, dove or similar feathered animals except parakeets, parrots or other birds that are customarily retained as common household pets.
Search "fowl"
- Sec. 4-23. - Fowl.
Any person raising or keeping fowl in a residentially zoned area as defined by this section must maintain them in a sanitary condition so as to not become offensive and/or cause a nuisance to the residents adjacent thereto; and are limited to:
(1)
Fowl must be kept in enclosures, pens, coops, cages at least one hundred (100) feet to any inhabited dwelling; provided, this distance requirement shall not apply to the dwelling of the owner himself. Enclosures shall be of such construction and strength to keep said animals from running at large.
(2)
Cleaned up manure or refuse shall be promptly removed from the vicinity after each cleaning.
(Ord. No. 02-4-7, § I, 5-6-02)
- Any person raising or keeping livestock in a residentially zoned area as defined by this section must insure the area is maintained in a sanitary condition so as to not become offensive and/or cause a nuisance to the residents adjacent thereto; and are limited to:
(1)
Livestock must be kept in enclosures, pens, sheds at least two hundred fifty (250) feet to any inhabited dwelling, provided, this distance requirement shall not apply to the dwelling of the owner himself. Enclosures shall be of such construction and strength to keep said animals from running at large.
(2)
Cleaned up manure or refuse shall be promptly removed from the vicinity after each cleaning.
https://www.azgfd.com/PortalImages/files/licenses/specialLicense/rules/R12-4-413.pdf
(For gamebird farms)
https://www.azgfd.com/PortalImages/files/licenses/specialLicense/rules/R12-4-419.pdf
(For Hobby farms)
As a brief scan of either document will show, Coturnix are not mentioned. I think you have to have a license for all others (native species.)