But with Arsenal, Wolves, Leicester, Tottenham, Manchester City and Liverpool to come, the League Cup could well be their only chance of racking up some wins before the end of October.

So the rumblings of discontent were put to one side, for one evening at least, as West Ham booked a home tie against either Leeds or Hull.

Jack Wilshere was conspicuous by his absence from a much-changed squad, with the club reportedly wanting to get the injury-prone midfielder off the books.

Amid 10 changes to the starting line-up, the front three of Haller, Anderson and Andriy Yarmolenko cost more than £100million, and right now West Ham would probably listen to offers for any of them.

In the first meeting between the London clubs since 2007 the hosts had the ball in the net after 10 minutes following a goalmouth scramble, but Yarmolenko’s scruffy effort was ruled out for a foul.

Haller scuffed an early chance wide from 10 yards but did not have to wait long to open his, and West Ham’s, account for the season.

In the 22nd minute young midfielder Josh Cullen, who spent the last two seasons on loan at Charlton, played a clever ball over the top to Yarmolenko who presented Haller with a tap-in.

Four minutes later Haller, who struggled in his first season in east London, offered a glimpse of the player West Ham thought they were getting last summer with a towering header to bury a Robert Snodgrass cross.

League One Charlton almost grabbed one back before half-time but the sliding Macauley Bonne was inches away from converting Alfie Doughty’s cross.

After the break Wales midfielder Jonny Williams forced a save from Hammers keeper Darren Randolph with a fierce volley.

But Anderson ensured West Ham’s safe passage through when he tucked away Manuel Lanzini’s square ball 10 minutes from full-time.