The store is listed. (If you're not sure what other URLs the store uses, check with its webmaster.) If you wish to change the URL by which it is listed, then submit an "Update URL" request on the listed URL.
But first make sure that when an editor goes to that site (by the Old URL), they can verify what the new URL is. An "update URL" request is really a "suggest re-review" request; it imposes no obligation on the editor, any more than a "suggest site" request. The editor is still responsible for choosing a category, picking a URL, writing a title and description in compliance with the editing guidelines.