Mich. Comp. Laws § 720.211
Whenever the appointment of any county public administrator shall terminate, other than by reason of death or incapacity, it shall be within the discretion of the state public administrator either to permit such county public administrator whose appointment has terminated to proceed with the administration of any estate in which he has been appointed fiduciary by virtue of the provisions of this act, or to make written request that such county public administrator present to the probate court, within a reasonable length of time, a petition in manner and form as is in the general probate laws of this state provided, praying that he be permitted to resign his trust, together with his final account, praying also that such final account may be judicially settled and that he be discharged in accordance with the provisions of the general probate laws. The said petition, when made pursuant to the written request of the state public administrator, acting for and in the interests of the people of the state of Michigan, shall constitute sufficient grounds for the entertaining thereof by the judge of probate having jurisdiction of any such estate, and for the granting of the prayer thereof: Provided, That where it appears from such final account that any such estate has been fully administered, upon the allowance thereof by the judge of probate, such fiduciary may be permitted to proceed to close out said estate, to distribute the residue thereof, and to receive his discharge according to law.
MCL 720.211