Hey Benjamin,
Thanks for reaching out. This sounds like WooCommerce’s own emails and so to disable these, I would recommend first adjusting your WooCommerce email settings.
You can learn the specifics of doing that here → https://docs.woothemes.com/document/configuring-woocommerce-settings/
If these settings don’t seem to help, then can you share a screenshot of the specific sort of email you are receiving? You can do so by uploading the screenshot to Imgur.com, Flickr.com, CloudUp.com, or any similar image-hosting site; then just share the links to those images here and I’ll take a look.
Thank you!
George