Lucky Patcher's operation is the same for both rooted and non-rooted devices. Using Lucky Patcher without superuser permission is possible. However, you should keep in mind that not all functions will be available. Below, we explain what you can do without root access and what you cannot.
Firstly, without root, it is still possible to modify applications. This way, you can remove the advertising from a game or get certain resources to lower a game's difficulty. To start, open the options menu by tapping on the application you want to modify, and then, tap on Menu of patches.

As you can see, the only option is to Create Modified APK File. This is because, on non-rooted devices, Lucky Patcher is not able to modify applications directly, and must extract its APK file, modify it, and then install it.

In the next menu, you can apply several patches simultaneously.

On the other hand, it can eliminate license verification.

Of course, it is also possible to delete ads from Google.

Finally, it emulates in-app purchases with the APK rebuilt for InApp and LVL emulation option.

Also, without root access, it is still possible to extract the installation files in APK format from any app installed on your device. Thanks to this, you can have a backup and install it on any Android without using the application store.
Keep in mind that without superuser privileges, you will lose some interesting features. For example, you will not be able to get rid of bloatware, those pre-installed applications on your device that are impossible to uninstall. Besides, you will not have the ability to modify permissions, delete ODEX files, or freeze applications. As a reference, here is a screenshot from the Tools menu after granting superuser permissions to Lucky Patcher.
Rooting your device for using this tool is up to you. Remember that using Lucky Patcher without root is much safer. Not having advanced permissions can be considered as protection that prevents wrongful modifications. Applying patches to certain applications may cause you to lose data, or even permanently disable your device.