Carlos Ancelotti can breathe easier now.
Chelsea are in the driver's seat to advance to the quarter-finals of Champions League after a huge two-goal performance by Nicolas Anelka at Copenhagen.
The French forward scored the first goal in the 17th minute when an error by former Chelsea winger Jesper Gronkjaer led Anelka to drive the ball past Johan Wiland.
Anelka scored his second goal of the match, this time off an intelligent pass from Frank Lampard, as Chelsea jumped out to a 2-0 lead and never looked back.
Anelka has now scored six goals in his last nine games, and the second half strike was his seventh overall in Champions League.
In the 75th minute, Fernando Torres had perhaps his best chance to get his first goal for Chelsea, but his trickling shot didn't have enough pace on it, and Oscar Wendt tracked it down and cleared it before it can go in the open net.
Substitute Martin Vingaard entered the game to start the second half for Copenhagen, and promptly delivered a blast from behind the box that Cech was able to corral by the near post in the 46th minute.
Vingaard delivered another shot about six minutes later, but he was unable to do anything special with it, giving Cech a routine save.
Domingues De Souza Claudemir had an opportunity to put Copenhagen on the board in the79th minute, but his hard shot from just outside the box was almost directly at Cech, who saved it, and maintained the clean sheet.
Overall, it was a very uninspiring performance by Copenhagen on their home field.
Chelsea has to feel pleased to get the road win.
D: Pospech, Jorgensen, Antonsson, Wendt
M: Bolanos, Kvist,Claudemir, Gronkjaer
F: Santini, Dame
D: Bosingwa, Ivanovic, Terry, Cole
M: Ramires, Essien, Lampard
F: Anelka, Malouda, Torres