Set up order and stock notifications for multiple users and third parties
The Advanced Notifications extension for WooCommerce lets you set up order and stock notifications for users other than the admin. These can be used for notifying staff and users of sales sending stock notices to suppliers or even sending new orders to drop shippers.

Within the plugin you can create a recipient give them a name email address and other details. This new recipient can then be assigned notifications for events such as:

• Low stock
• No stock
• Backorders
• New orders

Demo Link : https://woocommerce.com/products/advanced-notifications/

Summary from Demo
The most customizable eCommerce platform for building your online business. Get started today for free.
The Advanced Notifications extension for WooCommerce lets you set up order and stock notifications for users other than the admin. These can be used for notifying staff and users of sales sending stock notices to suppliers or even sending new orders to drop shippers.
Within the plugin you can create a recipient give them a name email address and other details. This new recipient can then be assigned notifications for events such as:
You can add criteria to notifications should you wish to exclude some products:
The notifications themselves based on WooCommerce’s own emails can be configured to include or exclude prices and order totals and also only show data that is relevant. For example if you set up notifications for a t-shirt the notifications only list this product and ignore other items in the order. Woo!
WooCommerce - the most customizable eCommerce platform for building your online business.