Command+M should minimize the control center.

⌘M should be able to minimize the control center, it's a small detail but I find it important in all the programs I use. (Window > Minimize doesn't have a shortcut next to it)

 

Hi MG!,

You can enable ⌘+M shortcut in Parallels Desktop Preferences, Shortcuts, Application Shortcuts.

After this both Control Center and virtual machine windows will react to it as to the Minimise command in Mac.
The drawback is that that shortcut won't pass to virtual machine apps.