And the popular 31-year-old, who has just three goals after being used sparingly this season, has quipped that he would have been a Hammers hero again if the Leicester stopper wasn't so handy between the sticks.
Speaking on West Ham's official website, Cole said: "I was so disappointed that those balls into the box didn’t quite come to me last Saturday as I wanted to be the hero again! It didn’t come, I think Schmeichel made a few good saves and I really wish he had no hands so it could have fallen for me!
"That’s what happens in football, I’ll have to wait for my next chance and hopefully it comes really soon."
Cole is likely to be on the bench again when Stoke City visit Upton Park on Saturday as Enner Valencia returns to the side. But he insists he will remain professional and has urged his teammates to 'pull their fingers out' and prove they deserve to finish above Mark Hughes' Potters.
Cole said: "I got 10 minutes on Saturday. If I can get more that will be great and I’ll do my best. It’s up to the manager what team he picks, and I can only be the professional I am, do my best and give 100% as soon as I get a chance.
"We know we have to kick on and get the next result. It’s not been a great period but the manager will tell you that we’re working hard on the training ground to improve things and that’s what we need to do at the minute.
"Stoke is a really tough place to go to, but they’ve got to come here and teams coming to West Ham will say the same thing about the Boleyn Ground. We need to pull our finger out for this game and make sure we’re going to score and defend with our lives.
"That’s what we’re aiming to do and I think all the people around West Ham want the same as we do and that’s a win. I managed to ruffle some feathers when I came on at Stoke and I want to ruffle some feathers any time I get. We’ve worked so hard to get to this position and I think we have to go out there and leave an imprint on Stoke to say we’re better than you and that we deserve to be in this position. There’s no better time than Saturday to do that."
Cole looks likely to leave West Ham, for a second time, when his contract expires in the summer. He was on the verge of completing a January deadline day switch to West Bromich Albion - as reported by the Daily Mail - but it fell through when the Hammers' own move for Tottenham's Emmanuel Adebayor was blocked by Daniel Levy.
He could still join up with the Baggies this summer as boss Tony Pulis hinted he would revisit the move. But Cole's boyhood club Brentford could also be an option after he told Sky Sports' Goals on Sunday last month: "They're going well at the moment. I'm happy for them and they hold a little soft spot in my heart, so you never know."