Ohio Revised Code Title XXIX. Crimes Procedure § 2935.30

Any member of an organized state, county, or municipal peace unit of another state of the United States who enters this state in fresh pursuit, and continues within this state in such fresh pursuit, of a person in order to arrest him on the ground that he is believed to have committed a felony in such other state has the same authority to arrest and hold such person in custody as has any member of any organized state, county, or municipal peace unit of this state to arrest and hold in custody a person on the ground that he is believed to have committed a felony in this state.

This section does not make unlawful any arrest in this state which would otherwise be lawful.