Hello,
You can create a category for each team and mark products with a proper category.
Then you can add your categories to menu in Appearance > Menus. If you don’t see Product Categories section there you need add it from Screen Options at the top of the page in Appearance > Menus section.
Also you can contact Woocommerce support team concerning products setup as this is their configuration and they can provide you with more information.
Thank you.
Regards,
Eva Kemp.