How to remove your Coursera account
We could not find options for quick account removal. However, from their ToS it should be clear you need to contact them and request removal. Obviously, if you find it necessary, anonymisation is an option too. See here:
You may update your Personally Identifiable Information by logging into the Site and visiting your user account page. You may also contact us via feedback@coursera.org. We try to answer every email promptly, but may not always be able to do so. Keep in mind, however, that there will be residual information that will remain within our databases, access logs and other records, which may or may not contain your Personally Identifiable Information.
Cannot delete the account, or worried the data lingers? See what to do when a site won’t let you delete.