Liverpool, meanwhile, have not conceded a goal in their last six home games in the league - since West Ham scored against them in February. "We realised it was a very positive atmosphere around us in pre-season".
Sturridge inflicted the final blow two minutes from time with his first touch after replacing Salah.
West Ham offered little as their five debutants struggled to gel and Daniel Sturridge rubbed salt in their wounds late on when he knocked home from a corner within seconds of appearing as a substitute.
"So we have to invest more, we have to fight more, we have to create more".
The Chilean can take solace in the fact he won't be the only opposition manager left feeling that way after facing Liverpool this season. Although their goals owed plenty to the Hammers' awful defending - and, in the case of Mane's second, an extraordinarily poor offside call - they looked slick, compact and risky from the first minute to the last.
This Is The Ultimatum That Harry And Meghan Reportedly Gave Their Friends
Fast forward to now, and Meghan, 37, is in the midst of newlywed bliss after tying the knot to Prince Harry in May. And I think, obviously I am a British designer, but I think being a woman and being a women's woman played a part.
It was the start Liverpool really needed to kick off a campaign that many fans will expect a trophy out of respectfully, because of the spending this transfer window. "Especially when I think that he has arrived less than a week ago, on Monday". Nobody knows exactly how well you did or how worthy your pre-season is.
Familiar complaints still exist, not least a lack of decisions given in their favour by referee Anthony Taylor, yet there is little to argue about the speed with which Klopp recruited in the wake of May's Champions League final defeat by Real Madrid, with Fabinho signed just three days later.
"We knew before we played that it was going to hard", Pellegrini admitted post-match.
The win was their biggest since they smashed Wolves 5-1 in August 1932.
Liverpool will be amongst those vying for the title and they look in a good position to challenge. I don't like to look too far ahead - we just need to do the talking on the pitch and make sure we perform well. I don't like telling players you are not in or whatever, especially when they give it all in the training sessions, but it is a completely normal part of the business.
Crucially, however, Liverpool looked nearly as comfortable in every aspect of the field, their midfield dominating with the energetic and aggressive Naby Keita impressing on his debut.
"I'm not complaining just about one offside goal because I repeat that Liverpool played well and deserved to win, but I don't think that the difference was four goals".