Town are considered to have been enjoying a good season up till now, punching above their weight since that joyful win at Crystal Palace on opening day, while West Ham have been toiling grimly near the bottom.
But Moyes said: "I'm not aware of that at all".
There should not be too many goals in the match.
"They caused their own problems today by trying to play football from the back which is well intentioned", Frank Lampard said.
Joe Lolley was hero and villain in the first half, though not in that exact order. A long ball forward from Angelo Ogbonna was flicked on by Cheikhou Kouyate for Arnautovic, who hooked the ball over Tommy Smith and fired past Lossl from inside the box.
Noble was quick to notice the Huddersfield player was in trouble and was on to the loose ball in a flash, breaking forward and beating Lossl with a crisp rising shot.
"I was just told about that, so I'm thrilled that the players were able to get me that and also thank you to all the other players in years gone by who got me the wins as well", said Moyes.
Huddersfield Town: Lossl, Smith (Kongolo 71), Zanka, Schindler, Malone, Hogg, Mooy, van La Parra, Lolley (Pritchard 65), Ince, Depoitre.
West Ham were understandably delighted with the result and were equally impressed with the performance from Arnautovic during the game, taking to Twitter to provide their reactions. If that was an unpromising start to the half worse was to follow. And to put an exclamation point on a banner second half day, Arnautovic and Lanzini connected once again for the Argentine's brace just five minutes later in the 61st. A fourth goal arrived just four minutes later, Arnautovic this time running directly at the heart of the Hudderfield defence and nearly finding a way through.
Signed from Stoke City in July for a club record fee, reported to be around 25 million pounds ($34 million), Arnautovic struggled to make an impact in his early games and highlighted Bilic's inability to get the best out of his squad. "It would take an very bad lot of money in this window to prise them out".