An Ohio sublease agreement must have the landlord's permission. This often means the tenant needs written consent to sublet the property.A sublease agreement in Ohio is a legal document that establishes the agreement between the tenant on the original lease agreement and the new tenant. Real Estate Services Forms. Note: These documents must be prepared in accordance with ORC 317.114 - Standard format of instruments to be recorded. Ohio eviction laws follow the same general eviction process: Fill out the forms; Serve the tenant; Attend the trial; Wait for judgment. Subleasing is an agreement where an original tenant leases a rental property to a new subtenant for a set period of time. A sublease is a rental agreement where a current tenant leases property to a new tenant for a portion of the initial lease term.