If you delete the Start menu shortcut and your desktop starts to become cluttered, you can remove the desktop shortcut for Firefox and add it back to the Start Menu.

You may want to free up some space on your desktop for a more aesthetically minimalist look and to simply de-clutter. In this guide we will show you how to hide desktop icons in Windows 10. Hiding ...

In addition, a similar procedure can prevent Windows from cleaning up unused desktop shortcuts, but after this tweak Windows should no longer delete these "broken" shortcuts.