Ohio Rev. Code Ann. § 1105.10
(A) Once elected or appointed, a director may be removed as follows:
(1) By the board of directors or the superintendent of financial institutions if any of the following applies:
(B)
(1)
(C) Unless the articles of incorporation or the code of regulations otherwise provide, the remaining directors, though less than a majority of the whole authorized number of directors, may, by the vote of a majority of their number, fill any vacancy in the board for the unexpired term.