How to block someone on Messenger?
If you wish to stop receiving messages from a Facebook Messenger contact, you can ban them from your Page. To do so:
- Log in to your business Facebook Page
- Go to Inbox
- Select the contact
- Click the 3-dot button, next to the star
- Click “Ban from page”.
People who are banned can't post, comment, send messages or take other actions on your Page. They will not be notified.