For what it's worth - I was able to achieve this for a windows VM. This is annoying nuance to Parallels as parallels picks up on monitor arrangement of the MAC, and in general acts poorly.
I have two Thunderbolt displays. Originally, I had my macbook pro to the right of the two monitors, then plugged the far left into the display port on the "center" monitor.
When I did this - the macbook pro would show up as monitor 3. I could disable in display properties manually without issue. This is key, apparently, it can only be disabled when it is monitor 3.
I got tired of manually disabling the 3rd display so I searched around and I found a tool called MultiMonitorTool, which can run with switches to kill display 3. I set it up to run at login as a task and everything was good.
Then I moved offices and now my macbook sits to the left of the two displays. The result is the mac display shows up as monitor 2, and it can't be disabled. Disabling in display properties throws the parallels mouse off, and in general makes parallels unusable and it has to be shut down.
I just tested using MultiMonitorTool to kill display 2, and it worked. [ ran: (path to tool)\MultiMonitorTool.exe /disable 2 ]. YMMV.
So, if you want this and your arrangement is consistent - this is how I did it. MMT doesn't throw an error if the monitor you want to go away doesn't exist, so nothing happens if you are mobile and fire up your windows instance.
Of note, sometimes my VM is slow to start and MMT (MultiMonitorTool) didn't pick up on monitor count when it ran, so I ended up adding a shortcut on the desktop to run the command manually. You could setup your task to wait longer than the 20 seconds I give mine.
HTH