Gerrard said the South American seemed to thrive on the criticism.
"Luis Suarez was fantastic for us again," said the midfielder.
"He doesn't need David Moyes to fire him up. But if people want to try to get in Luis' head and wind him up then it's the wrong thing to do.
"You saw from yesterday's evidence that it seems to inspire him rather than go against him.
"I can't control what he does when he scores a goal, I was just happy to see it (Suarez's deflected strike for the opener) hit the back of the net."