The Hammers face Chelsea on September 23.
Recalling his Chelsea winner, Arnautovic said: “This goal was very special to me because it was my first one for West Ham, and it was in the derby as well.
“It was the only goal of the game, so I was very happy for me, my teammates and obviously for the fans as well. I went in the crowd – I shouldn't do that probably, but the fans loved it.
“We needed that win and for me personally I needed that goal. It was a very special moment for me."