LiveAgent connects with your Facebook page and tracks all wall posts, comments and private messages so you can have your fans and haters under control 24/7. Everything is tracked and transformed into Tickets so your customer support Agents can react right when a complaint is created. LiveAgent also turns all important tweets into tickets so your support team can respond, retweet or just archive them. Your support team can answer support requests on your pages, without being constantly disturbed by hundreds of private messages and notifications they receive.
Currently Zendesk Message is included under all Zendesk Chat plans. However starting from 1st November 2017, it will only be limited to the Enterprise plan which starts from $59/agent/month.
Social Media Customer Service Tools Zendesk