Suarez's build-up to the game was affected with an Football Association hearing into allegations he racially abused Manchester United defender Patrice Evra hanging over him. However, the Uruguayan striker showed no ill-effects and was in irresistible form against Villa, with the woodwork twice denying him a goal.
Dalglish said: "Suarez has been sat in a hotel room for three days. He only trained on Tuesday and Friday.Then he put in a performance like that. It speaks volumes for the man."
As regards the FA hearing, Dalglish said: "We can't comment on that. It's not my choice. We'd love to comment.
"I'm afraid we wouldn't like to prejudice anything. We've been respectful all the way through and I don't think at this stage we'd want to be accused of losing that respect."
Dalglish also shrugged off the verbal abuse aimed by Villa fans towards winger Stewart Downing after his £20million summer move to Anfield.
The Scot said: "You must lead a sheltered life if you think that (reception) was tough. It's sad. It would have been better giving their support to their own players because it wasn't going to upset Stuart.
"He was excellent, so obviously it worked!"
Dalglish added: "We did have a lot chances in the game. We're there to try and create them. Obviously one day we're going to finish them off. One day we're going to do it.
"It never probably seemed as comfortable from the sideline as it was. We've got really good spirit in the dressing room and that shows on the pitch."
Source: PA