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The tutorial never instructs you to move something with ZArchiver, we only use copying. In ZArchiver, "moving" is called "cutting" (& "pasting").

If you aren't actually using ZArchiver but your phone's default file manager to move files, instead of first clicking "move" and then selecting the files to move, you might have to do it the other way around: First multi-select the files to move (start multi-selection by pressing and holding the first file you'd like to move) and then click on the "move" button that should become available.

Does that info help? Otherwise, you need to provide more details on which step you're struggling with.