you can make a basic attack with no target to remove stunned. Not any attack.
Viewing post in Stunned and Into The Fray
I know, but my hero was exhausted. What is more, the cards I had in my hand were useless at the moment and I was going to discard them anyway. I wanted to remove my stun with those (otherwise) useless cards to give them some use.
And, moreover, this was a post about a bug that prevents you from doing something that you should be able to do, even if it were pointless.