Host - ESXi 6.0u2 on Lenovo 10AY001YUS. Client - Win10. Server 2012 vm consoles go black/blank indefinitely whenever a major display change happens such as during reboots or when bios hands the display off to windows. Big problem with this while trying to do recovery operations on crashed servers that require lots of reboots. Seeing this across multiple hosts. The "fix" I've come up with is to click around to another active vm's console, then click back to the original blank console which restores the display. This happens both with the console separated from the vsphere client or within the main window. Any ideas?
Did you check it by Web Client?
Also try to run your vSphere Client with compatibility mode.