Chairman David Sullivan says the emphatic win at Anfield proves win at the Emirates was a one off success.
The Hammers put in a highly accomplished display on Saturday afternoon to leave Anfield with a 3-0 win, a surprise victory given they had lost their last their last two games.
It is their second successive away victory after an equally impressive victory over Arsenal on the opening weekend and Sullivan says it shows that result was no fluke, while also praising star performer Manuel Lanzini.
"People can see the Arsenal win wasn't a fluke now and you saw how good Lanzini was on Saturday," he told whufc.com.
"After 52 years it's unbelievable. And it was 3-0 as well - not 1-0 and The Alamo! Two games don't make a season, but we've got six points from four matches now and it's not a bad start because two of those were really tough games.”
While the two away results deserve praise and will be a welcome boost to manager Slaven Bilic, he will still have some concerns about his side’s performances.
Both their wins have came away from home against the so call bigger teams, with their defeats at home coming up against Leicester City and Bournemouth, suggesting there is a mentality issue in his side.
Indeed, it is something that Bilic himself has alluded to after the two home defeats, and will be keen to ensure it doesn’t become a problem across the season.