The former Blues defender has also praised Jose Mourinho for getting his current players to buy into his philosophy.
The Portuguese manager has been widely praised for his work in the transfer market both last season and this, with one of the finest tactical minds in the business having acquired the perfect players for the club while removing those he didn't need.
The clear embodiment of this is the sale of Juan Mata to Manchester United, with the Spaniard being sold as he didn't fit into the style that Mourinho tries to instil into all of his players.
Now, Desailly has praised the Stamford Bridge boss for that clever organisation, saying Eden Hazard is a clear embodiment of it.
"It has been very brave and clever organisation by Mourinho since the very start of the season," he said.
"His players are disciplined and capable of adhering to whatever the coach is going to ask [of them]. Take Eden Hazard, for example. He still has another 30% extra to give, but he cannot give it yet because he has to stick to the collective effort.”
The World Cup-winning defender has also admitted his surprise at those complaining about Chelsea’s style.
The Blues were a scintillating attacking outfit for the first half of the campaign but changed tact after a loss to capital rivals Tottenham Hotspur, instead going for a more defensively solid approach.
That led to complaints that they were 'boring' and criticism of Mourinho, but Desailly says it was because teams stopped attacking Chelsea out of fear that the Blues were forced to change.
“I'm surprised people complained about how Chelsea were playing," he added.
"In the first half of the season nobody was complaining, everybody was happy. The problem was in the second half opponents just stopped attacking Chelsea. They were afraid of what might happen.”