https://wordpress.org/plugins/wp-odoo-form-integrator/
Last updated 7 years ago. Doesn't work with new versions of WP. Tested.

Hello,

There is a wordpress plugin that sends new woocommerce customers and orders to odoo:

https://wordpress.org/plugins/notify-odoo/

I can modify it to send other wordpress data if you need.

Stanislav

Configure Integration:

a. Apps Configuration:

If you're using a third party apps for odoo store, configure it by providing the necessary API keys, authentication details, and mapping fields between WordPress and Odoo CRM.

b. Custom Integration:

If developing a custom solution, use the WordPress REST API to send data to your Odoo CRM instance. You may need to use the Odoo API to handle data on the CRM side.