Yes, the executor of a will in Ohio may be a nonresident, and if there are two executors, they may both be nonresidents. However, see the following excerpt from the Ohio statutes concerning the restrictions on nonresident executors.
§ 2109.21 Residence qualifications of fiduciary.
(B)(1) To qualify for appointment as executor or trustee, an executor or a trustee named in a will or nominated in accordance with any power of nomination conferred in a will, may be a resident of this state or, as provided in this division, a nonresident of this state. To qualify for appointment, a nonresident executor or trustee named in, or nominated pursuant to, a will shall be an individual who is related to the maker of the will by consanguinity or affinity, or a person who resides in a state that has statutes or rules that authorize the appointment of a nonresident person who is not related to the maker of a will by consanguinity or affinity, as an executor or trustee when named in, or nominated pursuant to, a will. No such executor or trustee shall be refused appointment or removed solely because the executor or trustee is not a resident of this state.