Tenn. Code Ann. § 7-3-506

Injunctions or restraining orders issued by any court of competent jurisdiction to enforce any ordinance, law or regulation of any metropolitan government or to restrain the violation of any ordinance, law or regulation of any metropolitan government shall not be stayed pending appeal, unless such stay is requested by motion in the court that issued the injunction and an appropriate bond approved by the court is posted. The court having issued the injunction or restraining order shall retain jurisdiction to consider such motion for a stay after an appeal has been filed. This section shall not be applicable in any proceeding where the procedure is governed by the Tennessee Rules of Civil Procedure or the Tennessee Rules of Criminal Procedure.