The Serbian defender gave a damning verdict on the Blues, who finished the season second behind Manchester United.
He believes they are too individualistic and their efforts over the last 12 months meant NOTHING because they ended trophyless.
Ivanovic, 27, said: "Personally, I don't like to look on my own season.
"Every time when you don't win a trophy it is hard and in many ways you want to forget the whole year.
"I don't like to speak about me personally and I think every player's success can be judged on what the team does. You can have a striker who scores 50 goals in one season but if you win nothing it means nothing.
"At the same time I am very happy because we were the best defensive team in the league. I cannot say just the defenders because 11 players defend but this is a good thing for next season, for our confidence.
"But we do have to improve other parts of our play. We have to play more for the team, like a team, to give opportunities to our team-mates.
"We know where we made mistakes and I think we will be better and improve in the new season."