This enables F-Droid to install and delete apps without needing "Unknown Sources" to be enabled (e.g. just like Google Play does). It also enables F-Droid to install updates in the background without the user having to click "install".
Free • Open Source
What is F-Droid Privileged Extension?
F-Droid Privileged Extension grants elevated permissions to F-Droid, which allows it to do installs and uninstalls without needing user approval. It gives only F-Droid access to its install and delete commands. In order for F-Droid Privileged Extension to get these "privileged" powers, it must be installed as part of your system by either being flashed as an update.zip or by being built into an Android device or ROM. On Android 4 and older, it can be installed directly if you have root on your device.