Ohio Rev. Code § 2941.36: Issuing arrest warrants.

A warrant may be issued at any time by an order of a court, or on motion of a prosecuting attorney after the indictment, information, or affidavit is filed. When directed to the sheriff of the county where such indictment was found or information or affidavit filed, he may pursue and arrest the accused in any county and commit him to jail or present him in open court, if court is in session.