In order to launch Chrome in full screen, you will have to run it from a desktop shortcut. If you want to run Chrome in full screen on launch, and set it up so that it always opens a certain website at launch, you can do so with the use of a switch and a little change in the browser’s settings. You will have to exit it, select a different tab, and then tap the F11 key again to return to full screen. This full screen mode is exclusive to the tab you’re in i.e., you can’t switch to a different tab while you’re in full screen mode.
In order to switch to full screen, you have to tap the F11 key. Chrome has a full screen mode that you can switch to regardless what you have open.
