To prevent products from displaying in Prestashop, you use the STOP function in the Cloud.

This will stop the product from displaying but will continue to send updates through to Prestashop.

To stop sending updates for a product to Prestashop, you will need to use the Exclude from Prestashop function however you cannot use both STOP and Exclude at the same time (as exclude has a higher preference and so the STOP modification would not be sent) so the proper method is to put the product on STOP, run and export and then set the Exclude setting.

To reverse this to display products with their updates, it is ok to disable both of these functions at the same time before running an export.

—- OR —-

You can of course delete products from Prestashop however this is a two-step process - you can delete the product in Prestashop and then you MUST also delete them from the Cloud. Failure to delete them from the Cloud will cause errors during future exports.

This works the same in reverse as well - if you delete a product from Cloud, you MUST also ensure the product is deleted from Prestashop to ensure consistency between the two systems