Ohio Rev. Code Ann. § 2335.17

No police officer is entitled to witness fees in a cause prosecuted under an ordinance of a city before a magistrate. In all prosecutions under a criminal law of the state involving a felony, municipal police officers shall be allowed the same fees for attendance as are allowed by section 2335.06 of the Revised Code. Such fees shall be taxed in the bill of costs and deposited, by municipal police officers, with the treasurer of the municipal corporation, to the credit of the general fund.