The Swansea City defender feels his manager is the right man for the job and is desperate for him to remain in charge despite the almost certain failure to reach World Cup 2014
Wales look set to miss out on yet another international tournament after they lost 2-1 at home to Croatia on Tuesday night, a match in which they had taken the lead through a Gareth Bale penalty.
Despite the defeat and the near-certainty that they will fail to qualify for World Cup 2014, Williams is certain that former Fulham manager Coleman is the right man for job and thinks it would be "stupid" to let him go.
He told reporters: "We definitely want him to stay. He came in and took the job in unbelievably tough circumstances but I think you can see it’s getting back to where it was under Gary Speed.
"The last two camps with him have been brilliant. I think that’s really pleasing and it would be stupid to change the manager, no one would say they want to see a change."
Dejan Lovren was the man to equalise for Igor Stimac's side on Tuesday night as the Lyon defender lashed in a swerving drive from long range, leaving goalkeeper Boaz Myhill disappointed with his effort.
He added: "It is ridiculous the amount they can get the balls to move these days and I am disappointed I could not get anything on it.
"It was way too good for me. I saw it leave his foot and that was it, it was on its merry way."