I too am having this issue with SQL Server 2014 on a Windows Server 2012 Azure vm.
In Configuration Manager, when I click on Services, it says running, but when I right click on the SQL Server instance and select properties, it says the Service status is Stopped. So when I click Start, then OK, the properties tab disappears and now the instance state says Stopped.
I tried right clicking -> properties, and starting the service again. In the properties dialog the Service status says Running, but I noticed the Apply button is always grayed-out, and once again after clicking OK the State is still Stopped.