Compiled Laws, Chapter 168. Michigan Election Law § 168.977

Sec. 977. (1) An officer who is recalled under this chapter shall not be appointed to fill a vacancy in an elective office in the electoral district or governmental unit from which the recall was made during the term of office from which the officer was recalled.

(2) An officer who resigns subsequent to the filing of a recall petition shall not be appointed to fill a vacancy in elective office in that electoral district or governmental unit during the term of the office from which the officer resigned.

(3) If an officer resigns subsequent to the filing of petitions to recall that officer from office, it is not necessary for the office with which the recall petitions have been filed to proceed under sections 961 and 963.  1

(4) If an officer whose recall is sought resigns after the calling of a recall primary election, recall general election, recall election, or special recall election, the election shall not be held.