No problem at all. Just move that folder from your desktop to Program Files and - if you like - make a shortcut to the program whereever you like.
Some programs don't need installation. They just work if you run them. This seems to be one of them. Such program don't have an official uninstall either. Just delete the folder and they are gone.
How you extract programs from a zip-file is totally up to you. You can use what Windows offers and you can use a separate zip-program. There's no such thing as a unique "correct procedure".
Hope this helps.
i have memory issues. That's grey matter not DRAM.