Ohio Rev. Code § 124.10
Any judgment creditor of an employee or officer of the state may maintain against the state a proceeding in garnishment of personal earnings under Chapter 2716. of the Revised Code to subject to the payment of the creditor's or judgment creditor's judgment any salary, wages, or other compensation that is owed or will be owed to the employee or officer of the state in the same manner, to the same extent, and in the same courts as any judgment creditor may subject, under the laws of this state, any salary, wages, or other compensation due a judgment debtor from any employer. In any proceeding of that nature against the state, the order of garnishment of personal earnings shall be served upon the director of administrative services and shall set forth the name of the state agency in which the judgment debtor is employed.
No proceeding in garnishment of personal earnings brought under section 2716.03 of the Revised Code shall be brought against a judgment debtor sooner than thirty days after the time an order and notice of garnishment is served upon the director of administrative services, regardless of who brings the proceeding or who brought the last successful proceeding.
R.C. §124.10