The Hammers were thumped 5-1 on the night, which followed last week's 3-0 defeat at Sunderland.
Bowen told Sky Sports afterwards: "It's a collective, we're out there on the pitch and when things are going well it's easy to get individual awards and what have you but when things aren't going so well you have to point the finger at every single person because we're out there on the pitch.
"It's not defenders defending well enough, it's not midfielders, strikers, as well, maybe not pressing as well as we know we can do. It's definitely a whole, especially at the moment.
"I think we have to look at ourselves because obviously manager's come in but the players are out there playing on the pitch, the manager can't influence that, that's down to us. You have a plan but football has always been football. You keep the ball out of your net and you score in the other net. Basic football I don't think we're doing very well enough. I can tell you that because we've conceded eight in two.
"Myself, as captain, I'm fuming with the first couple of weeks and I share that responsibility and it's down to me to get a reaction from everyone."