In Server 2012, Administrators can no longer change the network profile in Network and Sharing Center, they can view just not change.
To change the network profile you must use the new PowerShell cmdlets introduced in PowerShell version 4 in Windows Server 2012.
Please refer to the following screenshots for performing this procedure.
After making this change, it will update in Network and Sharing Center.
The default profile in Windows Server 2012 is public. This changes automatically when you join the server to the domain however in the event your server is not to be joined to the domain, you need to change the profile manually yourself. In this instance I'm setting up a stand alone offline certificate authority which must not be domain joined. As a result I needed to configure this manually.
Hope this has been helpful.