How to list products which have stock management disabled?

Is it possible to list products without setting a stock quantity? We have products that will never go out of stock, but can not be listed because of this warning message:

Error: Quantity is not valid. (#515)
The quantity must be a valid number greater than 0.

In that case, you need to create a dedicated listing profile for these “always in stock” products, and enter a value in the fixed quantity field in the right sidebar (which becomes visible when you disable the auto sync quantity option).

The stock amount you enter as fixed quantity will overwrite whatever quantity is set in WooCommerce - thus effectively disabling the inventory sync feature, which is why it should only be used on products which are always in stock.