The Bluebirds return to Barclays Premier League action following a tumultuous 10 days for the south Wales club in the wake of the removal of Iain Moody as head of recruitment.
Moody, a trusted aide of manager Malky Mackay, has been replaced by 23-year-old Kazakhstani Alisher Apsalyamov on an interim basis.
Apsalyamov is thought to be a friend of Cardiff owner Vincent Tan's son and appears to have no previous experience in football.
While Mackay has made it clear he will not quit the club, it has made for an unsettling time for Cardiff fans, and matters will scarcely be any easier on the field when they face Jose Mourinho's men at Stamford Bridge.
But Bellamy, who retired from Wales duty earlier this week, has vowed off-field matters will be no excuse for a lack of on-field performance.
He said: "If you look for excuses you are a weak player. You can probably try and use that (off-field matters) but that is not the mentality of the club and the players here. I don't see it being an excuse whatsoever.
"The manager went through his analysis of Chelsea yesterday so we know what we are up against. It will be tough. Whatever has happened before, Chelsea away is always going to be tough, but there will be no excuses.
"There has been no change in the manager of the players. No-one has really talked about it. It is more for you guys and the supporters. The players are paid to play. The manager won't let the players get away with anything. You'll be off at half-time, he is that ruthless."
Bellamy reiterated his support for Mackay, but feels recent events at the club are "part and parcel" of the modern game.
"In the years I have played, nothing surprises me in this game anymore," he said. "It's just how the game is, it's just a crazy game, you have to get on with it. I am just a player, it is above me.
"The manager is here and he is the single most important factor at the club. He has taken this club to another level.
"What he has done has been remarkable and we are trying to improve.
"Is he loved by us at this club? Yes he is. Not just the players but his staff too. Is he loved by the fans? Yes he is.
"He is held in such high esteem in this area and he will get support from us and the fans."
He added: "I can understand the concerns of the fans. But it is where we are changing as a football club, the stakes have become a lot, lot higher. Being in the Premier League this year is a completely different animal, it's the greatest league going.
"I have seen it at different clubs to be honest. I saw it at Newcastle, which was just immense, but it was also a circus. I have seen it at Manchester City with the Abu Dhabi owners and it is just part and parcel of football, it's where it is."