"The manager asked us to bounce back this afternoon and we did that - I thought we were outstanding," Gerrard told BBC Sport.
"When it works and clicks we're emphatic, and it could have been a lot more. Luis Suarez is in the top five players in the world.
"A lot of people like to judge him for things he's done in the past, but I judge him as a player and he's world class."
Gerrard picked up a minor injury and was substituted as a precaution on 66 minutes, but the 33-year-old is keen to feature in England's international friendlies against Chile and Germany later this month.
He added: "I've got a bit of a niggle so came off early and hopefully I'll be ready for the England games."
Gerrard has appeared in all 11 of Liverpool's Premier League matches so far this season.