Arnautovic's form has been one of the few bright spots in an otherwise dreary start to the season for West Ham, with the Austrian scoring three of the team's five goals in the league so far, including in their win over Everton last weekend.
Champions. Chelsea beat Manchester United to the League title by a single point and also won the FA Cup overcoming Portsmouth 1-0.
The Belgium global winger has started the season in electric form for Maurizio Sarri's men, netting five times in the Premier League already this term.
But with Kevin De Bruyne out of action with a knee injury, the 43 million pound ($56.3 million) signing from Monaco has been asked by Pep Guardiola to play in a more central midfield role and he appears to be relishing it.
Liverpool have so far amassed a flawless 15 points, trailing Chelsea on goal difference - even without any goals so far from Mohamed Salah, who totted up an astonishing 44 in all competitions last season.
"Now it is very hard [to rotate] because in the first part of the season, it is very important to play with a very solid team", Sarri said.
"In the last two weeks I have seen four matches of Cardiff and four matches of PAOK Salonika and I thought Giroud was more suitable for the Cardiff match and Morata for the other". But I don't think he quite realises how good he can be and what exactly you need to do to get every last ounce out of yourself to be the best. Can I wind him up? "But I'm delighted with his performance, a big compliment to him". "Can I do that?' No, he's too strong".
The Serbian, who has five goals in eight matches this season, picked up a hamstring problem during a training session last week, and missed his team's 3-1 win over OFI Crete in the Greek Super League on Saturday.