Victory over Scotland has eased the pressure on Coleman.
And Williams said: "The manager was spot on against Scotland. He made good substitutions and got all the big calls right.
"There has been criticism of him but not from anyone who matters. People have just been talking for talking's sake.
"We are not concerned about it and the lads are behind him. We enjoy playing for him, we enjoy the camps, we enjoy the training.
"Against Scotland you saw that he knows what he is doing."