Ohio Revised Code Title XXVII. Courts Revised Code General Provisions Special Remedies § 2712.18

(1) In an arbitration with a single arbitrator, the appointment shall be made by the court of common pleas upon the request of a party.

(2) In an arbitration with more than one arbitrator and two parties, each party shall appoint one arbitrator, and the two appointed arbitrators jointly shall appoint the remaining arbitrators. However, if either party fails to appoint an arbitrator within thirty days after receipt of a request to do so by the other party, or if the two appointed arbitrators fail to agree on the appointment of the remaining arbitrators within thirty days after their appointments, the appointments shall be made by the court of common pleas upon the request of a party.