The commissioner shall select the referees for any boxing or mixed martial arts match conducted, held or given within this state, except amateur boxing or mixed martial arts matches held under the supervision of any school, college or university having an academic course of study or of the recognized athletic association connected with such school, college or university or amateur boxing or mixed martial arts matches held under the auspices of any amateur athletic association that has been determined by the commissioner to be capable of ensuring the health and safety of the participants. All such referees shall be licensed by the commissioner under this chapter and the regulations adopted by the commissioner under this chapter, in accordance with chapter 54.