If uninstalling and re-installing Google Chrome does not fix the issue.
Uninstall Google Chrome using Revouninstaller. Click the link mentioned below for Revouninstaller:
Perform a deep scan to remove the registry entries for the application.
NOTE: Backing up the registry is recommended.
Restart the system and then try re-installing the Google Chrome. Install it from Google homepage as recommended by "johnr".
If it still does not open from the desktop or start menu, refer to the link mentioned below:
Thanks & Regards