Parallels and Total Spaces

When I launch a Parallels virtual machine (VM) with MacOS, the VM takes over the CMD-Tab and CTRL+arrow commands, basically deactivating TotalSpaces on my system. This does not happen when I use VMWare Fusion. Is there a setting in either TotalSpaces or Parallels to get VMs in Parallels to behave in the same way as VMs in Fusion?