Di Matteo became the latest victim of owner Roman Abramovich's demand for success, the Italian axed for poor Champions League results this season despite guiding the team to victory in the competition last term.
 
Former Liverpool manager Rafael Benitez has taken over until the end of the 2012/13 season, and Belletti feels the frequent coaching changes are damaging the club's prospects.
 
"Chelsea are behaving like a Brazilian club by firing all these managers," he said.
 
"It's not common to see a European club adopting this kind of attitude. Unfortunately for Chelsea, football has shown that getting rid of the manager is not always the best solution. In Brazil, for example, it is used as an excuse for bigger problems.
 
"It's dangerous for a big club to keep changing managers that often, especially a team with such a quality like Chelsea. I do hope that Rafa Benitez stays for a long time at the job, but we have already seen that this is too dependent on getting instant results at Chelsea"
 
Belletti also played down rumours Pep Guardiola may succeed Mano Menezes as Brazil national team coach ahead of the 2014 FIFA World Cup.
 
"Like many people, I was surprised by the sacking of Mano Menezes," he said.
 
"In my opinion, it had to be done before, perhaps after the London Olympics. On the other side, Luiz Felipe Scolari took over Brazil in 2001 less than a year before the 2002 World Cup and we won it.
 
"I just think Scolari had a better talent pool at his disposal than now. I also think the current generation is too young to handle the pressure of playing in a World Cup at home.
 
"I have heard that Guardiola would accept the Brazilian job and it certainly would be something interesting.
 
"I just think it might be a bit too late for him to have enough time to work.
 
"For me, the new manager needs to be someone who's already in the country, who knows the players and above all the day-by-day way of Brazilian football. With 18 months until the 2014 World Cup, a new manager now would have to work harder to get the team ready."