Cole struck twice in the FA Cup win over Burnley.
Speaking to West Ham TV, Cole said: "The fans turned up, all the kids as well, and I am happy for them to witness a five-goal victory. It was entertaining stuff and last week against West Brom was very entertaining as well. That's what the punters pay for.
"It also just shows the spirit of the lads lately as well. It was well publicised that the boys went out last week to get a bit of team spirit and I think Burnley showed what we are really about. I am happy for the boys, happy for the manager, and happy for the people all connected with West Ham United. We really did do a good job."