Cole branded last weekend's display at Liverpool 'diabolical', confessed the players were 'deflated' and called for an attitude change ahead of Saturday's crucial game against Wigan.
The Hammers, bottom of the Barclays Premier League, have won only once all season and Grant's unpopular assistant Zeljko Petrovic was sacked this week.
On his own: Carlton Cole says he is not getting the right service
Reflecting on the 3-0 defeat at Anfield, Cole said: 'That was diabolical. We didn't even turn up. We had lost the game in the first 10 minutes, psychologically anyway.
'I had just one cross. Apart from that I had nothing and, as a striker, that's starvation, that's famine. What am I supposed to work on?'
Sportsmail understands that Grant has received a vote of confidence from the players at a specially convened summit following that crushing loss.
West Ham, who welcome back Scott Parker for Saturday's 'save our season' clash, called a crisis meeting at their Chadwell Heath training ground where not one of the players pointed fingers of blame at Grant.
Out of ideas: Cole blames boss Grant for West Ham's defeat at Anfield
But Cole told local newspaper the Newham Recorder: 'The game plan was for me to stay as the longest person away from everybody and try to hit me on the diagonal or something but we weren't even doing that. So that went out of the window and we didn't have a Plan B.
'When we changed to 4-4-2 in the second half, I felt more comfortable because someone was up there with me and I felt that we were starting to get on the ball a little more, but then I got taken off and I was like, OK, that's not what they want me to do.
'They would rather I stood up there on my own, trying to make nothing happen. I'm deflated. I'm not happy and I hope something can happen as soon as possible because we need to change this ASAP. Everyone is deflated. We feel we let ourselves down.'
Where's Wally? At West Ham, as Sportsmail revealed
Cole, 27, has struggled to force his way into Grant's team this season, with the West Ham manager often preferring Frederic Piquionne as his lone centre forward in a 4-5-1 formation and the England striker is expected to be a transfer target for several clubs in January.
Parker has recovered from the chest infection which ruled him out of the Liverpool defeat and the inspirational midfielder returns with the Hammers slashing ticket prices to £20 for the Wigan game in a bid to generate a positive atmosphere at Upton Park to support their struggling players. Those who bought tickets at the original prices can claim a refund.
West Ham confirmed the appointment of Wally Downes as assistant boss, as revealed by Sportsmail.
Former Reading No 2 Downes said: 'It's an honour being asked to help such a good club. I hope I can help them climb out of the relegation area.'
Jack Collison, meanwhile, is stepping up his recovery after the knee injury he suffered in March and the 22-year-old midfielder hopes to be back in action next month.
Hammer blow for Grant as Noble faces five-weeks on the sidelines with leg injury'Honoured' Downes ready for scrap after landing West Ham jobBundesliga is better than c**p Premier League, blasts axed Hammer PetrovicWEST HAM UNITED FC