Ohio Rev. Code § 941.043
If the owner of the animal or the operator of the vehicle or conveyance is unable or refuses to comply with the permit issued under division (C) of section 941.04 of the Revised Code, or if necessary during a detention or impoundment in accordance with that division, the director of agriculture or the director's authorized representative may order the immediate slaughter of the animal in accordance with division (D)(3) of section 941.10 of the Revised Code and in the manner the director determines is most efficient, or may board or stable the animal at a location that can provide and care for the animal. All costs incurred as the result of a slaughter or boarding under this section shall be assessed against the owner of the animal, and the department of agriculture shall provide written notice to the owner demanding reimbursement for the costs. The owner shall reimburse the department for any such costs it has incurred within seventy-two hours after receiving the notice. The director may retain any proceeds from the slaughter of the animal to apply against any costs the department has incurred.
No person taking action as authorized by this section is liable for any losses incurred as the result of that action.
R.C. § 941.043