This is what I have found in the Memphis TN Municipal code
Sec. 8-8-10. - Keeping of livestock within 1,000 feet of residence or place of business.
No person shall keep any cattle, cows, sheep, horses, mules, swine or goats within 1,000 feet of any residence or place of business in the city without a permit to do so from the health officer. The health officer shall issue permits only when the keeping of such animals in the yard or buildings, and under the circumstances set forth in the application for the permit, shall not injuriously affect the public's health. This section shall not apply to slaughterhouses or city parks.
It does not say anything about chickens other than the following
Sec. 9-80-2. - Storage of chicken and animal feed.
All food and feed kept within the city for feeding chickens, cows, pigs, horses and other animals shall be kept and stored in rat-free and ratproof containers, compartments or rooms, unless kept in a ratproof building.
Sec. 8-8-2. - Running at large of livestock and fowl prohibited.
It is unlawful for any person in charge of any animal, including, but not limited to cattle, swine, sheep, horses, mules, goats or any offensive animal, or any chickens, ducks, geese, turkeys or other fowl, to permit it to run at large upon any street, alley or unenclosed lot within the city.
So it does not appear that it would be against any laws or ordinances
However, I suggest you also should be aware of Noise ordiances
Sec. 9-68-7. - Noisy animals and fowl.
The keeping of any animal, bird or fowl which, by causing frequent or long continued noise, shall disturb the comfort or repose of any person in the vicinity is prohibited.
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