Hammers stars appear to have taken Monday's setback on the chin.
West Ham United's James Collins celebrates scoring their first goal
However, an ever later effort from Diego Costa, who many felt should not have been on the pitch at the time, consigned Slaven Bilic's side to defeat.
Chelsea had earlier gone in front courtesy of Eden Hazard's penalty, which proceeded a calamitous few seconds for Michail Antonio, who lost possession before bundling down Cesar Azpilicueta in the box.
Despite the winger's misfortune, it was the continued presence and subsequent impact of Costa which most riled the West Ham supporters.
West Ham's Adrian remonstrates with Chelsea's Diego Costa (C) after Costa tackled Adrian
Having already accrued a yellow card for dissent, the Spaniard was lucky to stay on after clattering Hammers goalkeeper Adrian high on then shin.
However, Bilic's men were seemingly quick to move on from their setback on the opening weekend, with most of those on Twitter spouting a similar message.
West Ham United's Havard Nordtveit, Andre Ayew, James Collins and Dimitri Payet warm up before the match
Debutant Havard Nordtveit wrote: "Not the result we looking for but we move on to the next game thank you to all the fans."
Not the result we looking for but we move on to the next game thank you to all the fans @WestHamUtd— Håvard Nordtveit (@HNordtveit6) August 15, 2016
Defender Winston Reid added: "Thank you for ur support hammers fans we will be better next time."
Thank you for ur support hammers fans we will be better next time #coyi— Winston Reid (@WinstonReid2) August 15, 2016
And lastly, Angelo Ogbonna, an unused sub on the night, posted: "Unfortunate but no drama, we look forward to the next match!"
Unfortunate but no drama, we look forward to the next match! - Peccato ma nessun dramma, guardiamo già avanti! https://t.co/KI3CxK50Ri— Angelo Ogbonna (@OgbonnaOfficial) August 16, 2016
West Ham host Bournemouth in their next Premier League fixture on Sunday, with a Europa League trip to Astra Giurgiu up first.
Chelsea manager Antonio Conte celebrates after Diego Costa scored their second goal