Upon an appeal to county court from a judgment of sentence of a local criminal court, an order pursuant to CPL 460.50, staying or suspending execution of the judgment pending termination of the appeal and either releasing defendant on his own recognizance or fixing bail, may be issued by a judge of the county court to which the appeal has been taken or a justice of the supreme court in the judicial district in which the local court is located. In the case of any appeal as of right from a judgment or sentence of a city court, such order also may be issued by a judge of such city court.