This only affects maybe 3 users out of a good 200 Office 2013 users (by the way, Office 2013 is the worst version since XP).  When the user attempts to create a new event or forward an existing event from a local (not shared) calendar, they're met with "Not connect to Exchange Server" and the only workaround so far is to set Outlook to work offline, create the new event, then bring it back online.  It'll forward from the Outbox when you bring it back online.  

One machine having this problem won't allow you to export to a PST while online, strange that the system can't create calendar events because it doesn't think it's connected but it's fine with creating them while working offline...if there were more users hit with this bug, I would try restarting the Microsoft Address Book service, but it just seems disruptive to the other users.  Can someone offer a workable sol

Hi,

Are you using Cached Exchange mode? If so, does this issue continue if we turn off Cached Exchange mode?

Have you tried recreating the OST files for one of these 3 users to test the issue? Close Outlook, navigate to the following folder and find the .OST file, and then rename it to .old. Restart Outlook.

If above doesn't help, please also try creating a new mail profile for one of the 3 users and then reconfigure the Exchange account in the new mail profile to see the result. To do this, please refer to the following KB article:

https://support.microsoft.com/en-us/kb/829918

Please let me know the result.

Regards, 

Steve Fan
TechNet Community Support