N.M. Stat. § 3-51-46
Passenger motor vehicle of a person with a disability;
parking privilege.
Passenger motor vehicles owned by and carrying a person with a disability and
displaying special registration plates, or passenger motor vehicles carrying persons with
severe mobility impairment and displaying parking placards, issued pursuant to Section
66-3-16 NMSA 1978, shall be permitted to park for unlimited periods of time in parking
zones restricted as to length of time parking is normally permitted and are exempt from
payment of any parking fee of the state or its political subdivisions, except that airport
parking facilities may charge long-term parking fees for periods of time exceeding
twenty-four hours. The provisions of this section shall prevail over any other law, rule or
local ordinance but do not apply to zones where stopping, standing or parking is
prohibited, zones reserved for special types of vehicles, zones where parking is
prohibited during certain hours of the day in order to facilitate traffic during those hours
when parking is prohibited and zones subject to similar regulation because parking
presents a traffic hazard.