How can I hide-out-of stock products?
You will need to use the stock management system to hide out-of-stock products so that they don't display on your website.
Once you've activated the stock management system, you'll need to adjust your settings in from the menu.
Under the setting named Should we hide out of stock products from search results and category pages? choose Yes. Save your changes and test the feature on your website to ensure it is working as it should.