Run VMware Player with no GUI(Headless) by editing .vmx file

The terminology you're looking for is to run VMs (not VMware Player, which is actually a UI to interact with the VM) headless.

Close all VMware Workstation and Player instances and try editing your preferences file (%USERPROFILE%\Application Data\VMware\preferences.ini on Windows, ~/.vmware/preferences on Linux) to add the lines:

pref.vmplayer.exit.vmAction = "disconnect"
pref.vmplayer.confirmOnExit = "FALSE"