Does player support suspend on host shutdown?

Does VMware player (I'm using version 7.1.4) support suspending the running VMs when the host OS (Windows 7) is shut down (or the user logs off)?

I just tried to shutdown the host and Window tells me the VMWare Player processes are holding the process.

I could swear this worked on the other computer, but that might have been VirtualPC and not VMWare Player. So someone please just confirm if VMware has this feature or not.

Thanks.

David