Instead, their despondent manager simply came in, shook the hands of his players and staff, then walked out again.
It was reminiscent of what happened after another 3-0 defeat to a promoted side, away at Newcastle in just the third game of the top-flight campaign.
West Ham now sit 16th after nine games, with only eight points - but Bilic remains adamant that he is more determined than ever to escape the rut.
"He has to take a bit of responsibility because he picks the side, he picks the tactics, he's been involved in bringing some of those players to the club but I think he's got a group of players there who just play when they want to at times".
Bilic's right-hand man Nikola Jurcevic has been with him throughout his managerial career and would also leave if he were to receive his marching orders so who would step up in the interim?
"It doesn't look like they play for the manager".
"It was probably the worst team that West Ham could have played actually because they do a lot of things that West Ham don't".
Noble, for whatever reason, has lost his spark as the statistics highlight yet Bilic has been extremely reluctant to drop him up until very recently. Now I'm having a hard time, yes I am. Adrian has done well in his first couple of games.
Also, US Soccer is going to take it's time when appointing the new manager.
Indeed the League Cup would be bottom of priorities for most Premier League managers in terms of silverware or for some simply to survive in the elite to keep on reaping in the millions that membership offers.
The US needs a manager that is going to instill discipline into a squad that has been arrogant and entitled.