Sadly Stoke's away record is the worst in the division - there has been just one win, back in October, and a total haul of a meagre eight points.
The Austrian joined West Ham last summer and has been their standout player in their quest to fight relegation, which sees them now six points clear of Southampton in 18th.
"If we can keep on doing what we are doing we will win games".
Marko Arnautovic and Javier Hernandez will be hoping to continue their goal-scoring form; scoring three in their last two games between the pair. If we did, the football gods really would be against us'.
Hart spilled a shot from Xherdan Shaqiri that came in from the top of the box, while the veteran Englishman was properly positioned to make West Ham pay for the error.
"If the supporters do what I think they'll do, we just have to turn up and try and get a win".
"Wear them down, get the goals late on but the game changed when they got the goal".
"You need a little bit of luck at certain times but the performances have been incredibly high and the way we have played I couldn't ask for any more from the team".
The Hammers are aiming to complete their first league double over Stoke since the Potters' first season in the Premier League in 2008-09.
Carroll last played for West Ham more than three months ago, with an ankle injury depriving the team of its target man up front.
West Ham have only won back-to-back Premier League games at the London Stadium on one previous occasion back in December 2016.
Only Stoke (63) and Watford (60) have conceded more league goals this than West Ham (58) this season.
"I think the important thing was to make sure we didn't lose tonight and I thought the commitment from the players, energy, to make sure that didn't happen showed late on but their play throughout with the ball was one of the better performances I have seen since I have been here".