It's Sarri's first season in London after the Italian took over from Antonio Conte during the summer.
Makelele won two Premier League titles during his spell at Stamford Bridge and is backing Sarri to bring more success to the club.
"I think Chelsea changed a lot," Makelele said.
"So it's going to be difficult for them to win the Premier League. I'm confident.
“He still has good players - [Eden] Hazard is there, [N'Golo] Kante is there.
“I think he has the capacity to make history for Chelsea again."