N.H. Rev. Stat. Ann. § 207:26

A person may pursue, wound or kill, on land owned or occupied by such person, any unprotected bird or wild animal which the person finds in the act of doing actual and substantial damage to poultry, crops, domestic animals, or the person's property, and may authorize a family member, employee, or other person requested to do so under the provision of a depredation permit issued by the executive director pursuant to RSA 207:22-c, III.