Short Term Rentals and Vacation Rentals Are Not Allowed During This Time
Governor Whitmer's Executive Order 2020-70 states that short term rentals and vacation rentals are not allowed during this time.
The exact statement in the order is as follows:
"No one shall rent a short-term vacation property except as necessary to assist in housing a health care professional or volunteer aiding in the response to the COVID-19 pandemic or a volunteer who is aiding in the same".
You can read Executive Order 2020-70 here.