N.M. Stat. § 17-3-29
The state director may issue permits to any person to take, capture, kill, transport within or out of the state any game, birds or fish mentioned in this chapter at any time when satisfied that such person desires the same exclusively as specimens or for scientific or propagating purposes. Such permit shall be in writing and shall state the kind and number to be taken and the manner of taking, the name of the person to whom issued, the name of the place to which the same is to be transported and the name of the persons shipping such game, birds or fish, and shall be signed by him. Such permit shall not be transferable nor shall it be lawful to sell or barter any of the animals, birds or fish taken or exported under such permit for food purposes, and the holder of such permit shall be liable to the penalties provided in this chapter if he violates any of its provisions.
NMS § 17-3-29