How to create a subpage for a product

I am using woocommerce to display products on my site. Usually when I want to create a subpage or a “child page”, it is as simple as creating a new page, going to the sidebar and select the parent page of my choosing. This creates a page with a permalink that looks like https://www.example.com/regular-page/child-page

I want to do this same thing with a product page but product pages do not show up in the parent page drop down menu. For clarity, I want the permalink to look like, https://www.example.com/product-page/product-child-page