Follow along with the video below to see how to install our site as a web app on your home screen.
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Not sure about version 10 but in version 11 you can prevent the icon appearing in the dock by setting Virtual Machine Dock Icons to 'None' in the General Preferences of Parallel Desktop. Also, if you set On VM Shutdown to 'Quit Parallels Desktop' in the Startup and Shutdown options of the VM you get a more natural behaviour in OSX.
With these settings you only get one icon in the dock for the VM that is running and in Coherence mode an icon for each Window instead of the VM icon. To me this behaviour is exactly as I would like to have it.