The 30-year-old left-back has been an ever-present for the Blues this season, and is hopeful that the club's recent impressive form prior to their DW Stadium setback will carry them into the festive period.
Wins against Newcastle United, Valencia and Manchester City preceded this weekend's result, and but for an 88th minute Jordi Gomez equaliser, Andre Villas-Boas' men would have made it four consecutive victories.
"We've improved," confirmed Cole. "With the players and the squad we have it was only a matter of time before things would change.
"We did have a few bad results but the luck is going our way, as we saw against Man City.
"We knew it would turn around and people are starting to come into form and hopefully it's at the right time and we can take those three good results and kick on from there.
"Going off the results, especially the big one against Manchester City we're playing with a lot of confidence now and the belief is back in the team and the manager believes too.
"Three or four good results over Christmas will see us push on because the top teams are losing games."
Cole has not missed a league game for Chelsea since April 2010, a run of 57 consecutive appearances, but he insists there will need to be an improvement in personal form if he is to keep that run going.
"I've been better," he added. "There are things I know I can do better but as I said, as long as the team is winning that is the main thing, I'm secondary to that.
"I think I've played more than 50 consecutive games in the Premier League and I want to keep going with that and hopefully win something for Chelsea this year."