Sadio Mane struck against former club Southampton as Liverpool won again, with Arsenal, Everton and Norwich City also taking three points.
Adrian signed for Liverpool on a free before excelling in the UEFA Super Cup, but West Ham had been keen to keep the goalkeeper.
Bernardo Silva sat out with "little muscular problems" at West Ham, but Manchester City called on Riyad Mahrez after his early return.
Manchester City provided a superb response to Liverpool's opening day win, while Burnley, Brighton and Tottenham started well.
Pep Guardiola's Manchester City were guilty of plenty of tactical fouling against West Ham, according to Manuel Pellegrini.
Manchester City provided a superb response to Liverpool's opening day win by thumping West Ham, while Burnley and Brighton started well.
Manchester City boss Pep Guardiola claimed Raheem Sterling "can do better" and discussed VAR after the win at West Ham.
West Ham's Premier League opener against Manchester City proved a miserable tale of more of the same against Pep Guardiola's men.
The "joy" of putting the ball in the back of the net was not dimmed by VAR, Raheem Sterling said after Manchester City's win at West Ham.
Raheem Sterling scored a hat-trick in Manchester City's 5-0 win, but it was one of the winger's disallowed goals that stole the attention.