Unlikely. It's going to be a restricted permission on Google Play, which means the application must have a good reason to use it. Specifics will be provided later, but I'm pretty sure a mobile game won't have a reason to use this permission.

> Note: The MANAGE_EXTERNAL_STORAGE permission allows apps to access potentially sensitive data on shared storage. In an upcoming policy announcement, look for Google Play to provide guidelines for apps that need this permission.