West Ham have struggled for home form in the league this season; they have not won at Upton Park since the opening day against Cardiff, but Cole and midfield team-mate Noble are hoping for an upturn in fortunes this weekend - against some leg-weary opponents.
"We've had two weeks to prepare," Cole told Sky Sports News ahead of the meeting with his former club. "We've a couple of players back from international duty this week.
"It's going to be a tough game. They are a world class team and we need to be at our very best to get something out of the game. Like I say, we need to try and impose our game and try and win it that way."
Noble too acknowledges that it will be tough against the three-time Premier League champions, but also believes this may be the best time to be playing them.
"We know how good they are, they are a top team," he said. "A lot of their players have been on international duty over the last couple of weeks. If there was ever a good time to play them, this might be it.
"Their top players play all around the world. We're looking forward to it. We've had a bit of bad luck at home but hopefully that can turn for us and we can get some points on Saturday."
Ashley Cole is unlikely to feature for Chelsea this weekend after he aggravated a rib problem during England's defeat to Germany.
You can watch West Ham against Chelsea on Saturday Night Football on 23 November live from 5.00pm on Sky Sports 1.