Can I set my business hours for social messaging channels?
It's not possible to prevent messages from social media channels based on your business hours. Unlike live chat, social messaging is always on.
To automatically inform your customers that your agents are not currently available, or of your business hours, you can set up an auto-responder.
Additionally, you can use the metric Messaging tickets created outside of business hours to report on any tickets created outside of your schedule. For more information, see the article: Metrics and attributes for Zendesk messaging.