The Spurs boss has yet to taste defeat against Hammers as a manager.
Cole said: "Redknapp has never lost to West Ham but that run has got to end somewhere and I want to be part of it.
"I want to be part of the change here, I want to help. We are capable of getting the results as West Ham have good players.
"It's about doing the right things and pulling in the same direction, all together."