"It was a massive win. If you get a win against one of the best sides in the league, it is going to put you in good stead for the future," Gerro told liverpoolfc.tv.
"We realise it's only early days and it doesn't mean we're definitely going to go on and win the league now.
"You can understand when the manager says this was a game worth more than just three points. If you beat teams like United, it is bound to help you for future games. They are defensively very good and have world class players, so it shows you can beat anyone.
"A win like this gives belief and a boost of confidence for every individual and the team.
"I'm sure the United players will realise that we want this title really badly. I know it's only a few games in, but we want to be there come March and April.
"It means so much to the supporters and the players, we want it really badly. And I must make a special mention of the supporters, they were unbelievable."
And Gerrard added: "It's certainly up there with our best results in the Premier League in recent years.
"We've had a lot of big performances at Anfield, notably in Europe. But we've had a bit of criticism for our performances in the past when the other so-called top three have come here.
"This is a big statement for the future but it's important that we keep our feet on the ground. We've just got to take the positives and use them to our advantage for the games coming up."