Recently I had an issue when opening my Exchange Management Shell or the Exchange Management Console. The error that you receive when opening Shell or Console would be,
Connecting to remote server failed with the following error message : The WinRM client received an HTTP status code of 403 from the remote WS-Management service. For more information, see the about_Remote_Troubleshooting Help topic.
The shell will try to find another server available on the Org and connect to the remote server automatically, where as EMC will show the above error and wait for response. If you have single server, the EMS will fail to connect as well.
This happened because, I have enabled “Require SSL” settings on PowerShell virtual directory. Uncheck the Require SSL settings and do an IISRESET /noforce to fix this issue.
It uses Kerberos authentication, hence the SSL is not required.
If the issue is different, please read below article that may trigger a fix for you.