Vanquish Shipping Tracking for WooCommerce lets you attach a tracking number, a shipping carrier and a dispatch date to each WooCommerce order. The tracking information is shown to your customers in the order emails and on the order details / My Account page, with a direct link to the carrier’s tracking page — the tracking code is pre-filled in the link whenever the carrier supports it.
The free version does not send any data to external services. It only builds direct links to the carriers’ own tracking pages, which the customer opens in their browser.
The premium version can connect to external services, in both cases configured and controlled entirely by you: