Ohio Revised Code Title XXIII. Courts Common Pleas § 2329.024

(A) If the judgment debtor shows the court of common pleas that an appeal is pending or will be taken from a foreign judgment that is filed pursuant to section 2329.022 of the Revised Code, or that a stay of execution of the foreign judgment has been granted and if proof is given to the court that the judgment debtor has furnished the security for the satisfaction of the foreign judgment that is required by the jurisdiction in which the foreign judgment was rendered, the court shall stay enforcement of the foreign judgment until the appeal is concluded, the time for appeal expires, or the stay of execution expires or is vacated.

(B) If the judgment debtor shows the court of common pleas any ground upon which enforcement of a judgment of a court of common pleas would be stayed, the court shall, upon requiring the same security for satisfaction of the judgment that is required in this state, stay enforcement of a foreign judgment that is filed pursuant to section 2329.022 of the Revised Code for an appropriate period.