N.M. Stat. § 66-5-34
No operation under foreign license during suspension or
revocation in this state.
Any resident or nonresident whose driver's license or right or privilege to operate a
motor vehicle in this state has been suspended or revoked as provided in this article
shall not operate a motor vehicle in this state under a license, permit or registration
certificate issued by any other jurisdiction or otherwise during such suspension or after
such revocation until a new license is obtained, when and as permitted under this
article.