Cech endured European agony at the club for seven years before finally getting his hands on the European Cup last season but those disappointments all came in the knockout phase.
Last night's 3-0 loss was not only Chelsea's heaviest ever in the Champions League group stages but it also left them staring at their first December exit from the competition, costing manager Roberto Di Matteo his job.
Speaking before Di Matteo's departure, goalkeeper Cech said: "This is the most disappointing defeat because this is not a team to stop the campaign in the group stage. That is clear.
"I hope it is not going to happen."
Chelsea face Barclays Premier League leaders Manchester City on Sunday and Cech added: "If we win that game, we will be right back in the title race and everything will look different.
"This is a crucial four days to prepare the Sunday match against Man City and the whole momentum of the season can twist again."
Cech admitted it was inevitable Di Matteo's job had come under pressure on the back of an alarming slump in form that already had owner Roman Abramovich reaching for the panic button.
Chelsea's captain in the absence of John Terry and Frank Lampard said: "In any kind of sport, if you are going through a period like that, unfortunately the coach is the first person to get under pressure and questioning.
"As a player, you come in the next day, try and prepare yourself and do everything you can to be ready for the next game and what happens around is a club decision."
Insisting he believed Di Matteo was "the right man" for the job, he added: "I have no power to keep the manager or to make the manager leave. That's the thing. I am not part of the board or owner of the club.
"I am a player, so I concentrate on what I can do for the manager and what I can do for the team and for myself. That's all I can do."
Di Matteo's job being under threat was seen as unfair because of last season's Champions League and FA Cup triumphs.
Cech said: "You can't live in the past.
"Me as a player, I never live in the past. I won a Champions League, but if I don't play well, I am not going to play.
"The manager will not start me only because we have won the Champions League.
"It was fantastic what we achieved last season. This season we started really well, we looked in a really good shape but, unfortunately, now we are going through a period where nothing is going right.
"But I believe we still have enough talent in the dressing room and the quality and I believe that the players will find the strengths to go through the period."
Cech was the busiest goalkeeper in the Champions League last night as Chelsea recorded their 10th game without a clean sheet.
"The problem is, if you concede 15 shots every game, it is clear you cannot get a clean sheet," he said.
"We need to make sure that we control the defensive part of our game better than we are doing because you know as well as we play with the ball, we seem to give too much space to the opposition every time we lose the ball.
"It is easy to point at four defenders but four defenders will never defend everything if they don't get help from the team. I think we know that we haven't been defending well as a team."