This is extracted from the referenced regulation:
5 AAC 92.029. PERMIT FOR POSSESSING LIVE GAME.
(a) Except as otherwise provided in this chapter, or in AS 16, no person may possess, import, release, export, or assist in importing, releasing, or exporting, live game, unless the person holds a possession permit issued by the department.
(b) The following species, not including a hybrid of a game animal and a species listed in this subsection, may be possessed, imported, exported, bought, sold, or traded without a permit from the department but may not be released into the wild:
Common Name Scientific Name
Any Turkey species Subfamily Meleagridinae
Any Pheasant, Junglefowl or Coturnix species Subfamily Phasianinae
Any New World Quail species(including Bobwhite) Subfamily Odontophorinae
Chukar partridge Alectoris chukar
Button "quail" Family Turnicidae in the Order ruiformes
Any duck, goose, swan, or other migratory waterfowl that the U.S. Fish and Wildlife Service determines does not require a federal permit for private ownership;
(d) Under this section, and in accordance with the definition of "game" in AS 16.05.940 (which includes feral domestic animals), a
1. European ferret (Mustela putorius furo), swine (Sus scrofa Var.), or nonindigenous gallinaceous bird is feral if the animal is not under direct control of the owner, including being confined in a cage or other physical structure, or being restrained on a leash; the commissioner may capture, destroy, or dispose of any feral ferret, feral swine, or feral nonindigenous gallinaceous bird in an appropriate manner;
(e) Any of the above species of bird, mammal, or reptile that is endangered may not be held in private ownership without a permit from the United States Fish and Wildlife Service.
(f) Notwithstanding (b) of this section, the following species may be temporarily released for the purpose of hunting dog or falcon training, field trials, and tests:
1. Pigeon (Columba livia Var.);
2. Pheasant, Junglefowl, or Coturnix spp. (Subfamily Phasianinae);
3. any Guineafowl species (Subfamily Numidinae);
4. any New World Quail species (including Bobwhite) (Subfamily Odontophorinae);
5. any duck, goose, swan, or other migratory waterfowl which the U.S. Fish and Wildlife Service has determined does not require a federal permit for private ownership; and
6. chukar partridge (Alectoris chukar).
(g) A person using live game listed in (f) of this section for the purpose of hunting dog or falcon training, field trials, or tests
1. may release the game only on the day of use and shall make reasonable efforts to capture, kill, or recover the temporarily released live game;
2. may take the live game in connection with hunting dog or falcon training, field trial, and test activities; and
3. must legally acquire, hold, and dispose of the live game in accordance with all other applicable state statutes and regulations.