Mich. Comp. Laws § 600.4385

Sec. 4385. (1) The judges of every court of record have the power to issue a writ of habeas corpus for the purpose of bringing before that court, or another court or body authorized to examine witnesses, any prisoner who may be detained in any jail or prison within this state, to be examined as a witness. (2) The judge may order in the writ that the prisoner be placed in the custody of a designated officer for transportation to the place of examination and return, instead of requiring the person having custody of the prisoner to produce the prisoner at the place of examination.