Unable to start T-SQL Debugging. Could not connect to computer ("*****")
I just wanted to pay this forward, as after searching for quite some time I've yet to see anyone mention the problem that I encountered here.
I ran into this issue while connected to SQL using a SQL Server Authenticated user. Once I tried using a Windows Authenticated user I was able to debug without issue. That user must also be assigned the sysadmin role.
Hope this helps someone.
SSMS needs to be able to find your SQL Server by DNS. When you connect to the DB in SSMS, you can use (local), but (local) does not resolve on your network so the debug program can not find it. Try connecting to localhost or your computer's name on the "Connect to Server" screen.
You should not have to run as administrator.