He said: "It was disappointing for us as we'd had a few other chances and a few goals disallowed. It is tough at the minute but we'll keep working".
Until that point West Ham had dominated the game, stringing together a series of chances to break the deadlock.
West Ham had three second-half goals disallowed, but Carroll cancelled out Crouch's goal at the death to deny Stoke a first Premier League victory on the road since October and leave Paul Lambert's men in big relegation trouble. "I came in late, but I'm absolutely loving it and willing to fight".
West Ham ended an eight-game winless streak against Stoke by winning the reverse fixture 3-0 in December.
West Ham boss David Moyes named an unchanged team from the one that started the 1-1 draw at Chelsea last time out, but Carroll and Manuel Lanzini were back on the bench for the Hammers following injury.
Sobhi was proving Stoke's primary creative threat and he sent Mame Biram Diouf clear with a cute first-time pass around Declan Rice, but the Senegal striker fired straight at Hart.
Mike Hewitt GettyImages
The Austrian was involved again when Edimilson Fernandes' fierce shot from the edge of the box found the net but Arnautovic was again adjudged to be interfering with play as he was forced to step over the midfielder's shot.
"I hope the last four games we can stay together and win a minimum of three games".
Butland was at full stretch to save another Cresswell free-kick that had glanced off the head of Stoke midfielder Joe Allen.
The Manchester City loanee fumbled Xherdan Shaqiri's shot and was too slow to react, allowing Crouch to stab the ball home.
Stoke striker Peter Crouch would then score the game's opening goal with 12 minutes to go.
But West Ham refused to lie down and Carroll, missing for the last 13 games through injury, showed his quality when Cresswell delivered a ideal ball into his path and the former Liverpool forward fired an unstoppable volley past Butland.
Shock as Blitzboks fail to medal, NZ take gold at Games
The home side couldn't capitalise, with Blyde putting a try-saving tackle on Emma Tonegato just metres short of the line. The victor of that match will progress through to the semi-finals and the loser will be out of medal contention.