From the Michigan AG web site re: CCWs
"Michigan's concealed pistol law expressly recognizes permits issued by other states to its residents. MCL 28.432a. However, non-residents are subject to the Michigan law while carrying a pistol in Michigan, including those restricting where pistols may be carried, the implied consent provision, disclosure to a peace officer when stopped, and carrying while under the influence. A non-resident should acquaint himself or herself with the Michigan law before carrying a concealed pistol in Michigan."
Michigan does not issue non-resident CCWs and it will only recognize the CCW of the state in which you actually reside; it doesn't recognize non-resident CCWs issued by another state (so, for instance, you live in Florida but have a non-resident CCW from, say, Arkansas. Michigan will only recognize the CCW from Florida, your state of residence).