N.M. Stat. § 44-8-10
Appeal and stay of appointment of a receiver.
If an appeal is taken from a district court from a judgment or an order appointing a
receiver, perfecting of an appeal from such judgment or order shall not stay
enforcement of the judgment or order unless a bond, in a sum fixed by the district court,
is given and posted on condition that if the judgment or order is affirmed on the appeal,
or if the appeal is withdrawn or dismissed, the appellant will pay all costs and damages
that the respondent may sustain by reason of the stay in the enforcement of the
judgment or order.