At Old Trafford, a United side inspired by Nemanja Matic, their 40-million-pound ($52.04-million) signing from Chelsea, provided another expensive newcomer, the 75-million-pound Lukaku, with the flawless service.
The visitors barely threatened as a Romelu Lukaku double and goals from substitute Anthony Martial and midfielder Paul Pogba condemned West Ham to their 11th opening day Premier League defeat - the most of any club.
"This season, when I got the call that Matic wants to play for me and for Manchester United, and he can make it happen, I thought he's the ideal player for me". I want, I want, I'm on fire. "What we had was midfielders and wingers scoring, and even central defenders scoring goals from set pieces", Mourinho said.
The Red Devils are ready to attack the title after a pretty shaky last term of Premier League.
Mourinho has indicated that he wants a fourth signing before the transfer window shuts on August 31, as he needs a winger to bolster his squad.
The Hammers have significantly strengthened their lineup in between two seasons, but it did not help them much in getting a successful pre-season campaign and they won't visit Old Trafford in the best of the moods. We lost two points against them last season and had similar games where we were dominated.
"Obviously were still missing a few players but that shows the strength of the squad - although we're missing some players we still have the quality to go there and do something good. Last season we were top after the first match so it means nothing", he added.
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It's just the start, the manager has a plan, we will try to follow it and hopefully it will take us somewhere.
A wide man has always been of interest, but Mourinho claims he is also looking for a left-back, even though he admires Luke Shaw's attitude in coming back from another injury and the England defender will be given a chance to re-establish himself.
"The team was confident and played great football". I think every one of us is equipped to win the title.
"It is not because I have always done it (won the league title in his second season) that I am going to do it again", Mourinho said.
Ibrahimovic signed a one-year deal in July 2016 and scored 28 times in 46 games in all competitions for United before suffering knee-ligament damage in April in the Europa League win over Anderlecht.
"When you come out on top it is an unbelievable feeling to know you are the best team in the country, and you have gone through all sorts of things along the way to win that".