The Italy worldwide dropped his first points as a Chelsea player at the London Stadium, with the Hammers proving to be a nut too tough to crack, but it was a great day for him on a personal level.
The match will be played at the London stadium and it will start from 06:00 pm India time.
They have a hard match ahead on 29 September, hosting league leaders Liverpool.
Chelsea FC will then prepare to welcome Liverpool FC to Stamford Bridge in the Premier League next weekend as they look to bounce back to winning ways.
Arnautovic, who has netted 14 goals in 25 games, was sorely missed and that was underlined when Antonio was guilty of missing two great chances inside 90 seconds on the half-hour mark, as the hosts came out of their defensive shell.
"So for us I think it's a bit early", Sarri added. I know that in the future, probably, I will have to face some difficulties. I don't know why they lost their first four matches in the league, but they are really a very good team.
"It's important but I always want to win".
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Sarri did not expect such a string of results, but he knows in the Premier League danger lurks at every turn and is not underestimating a West Ham side he rates highly despite having just one win from five games.
"So maybe we could have done better in the last 25 minutes of the first half".
Centre-back Antonio Rudiger was forced off with an injury in the second half, as he started to hobble around the pitch.
"I might be going out on a limb in backing the Hammers, but I just think something will click for them this time".
It's not hard to imagine Sarri's high defensive line being torn to shreds, particularly if Rudiger's injury deprives the Blues of all recovery speed.
'Maybe I will have to change 11 players, maybe only five, ' said Sarri.
Next up for Chelsea FC is their trip to Liverpool FC for their third-round League Cup tie against the Reds.