Gerrard was full of praise for Rooney after he put off-field allegations to one side with his first England goal for 12 months and another excellent performance.
He said: "All the talk in the build-up was about Wayne but we showed a great togetherness and the early goal for Wayne did him the world of good.
"Over the two games he's been fantastic for us.
"People said the Swiss players might try to wind him up but I wouldn't say that was the case.
"I think they are an honest team and they have a good record, especially at home.
"People were talking about them being difficult to play against, hard to score against and hard to break down.
"But I thought we tore them apart at times and Wayne played a big part in that."