The current coach at Stamford Bridge is seeing his future called into question during his debut campaign at the helm.
The Italian guided the Blues to the Carabao Cup final and has them in contention for a top-four finish in the Premier League, but has seen his methods and authority called into question.
Former Arsenal star Pires would not be surprised to see Sarri moved on this summer and believes an iconic countryman would be an ideal candidate to fill a managerial void in west London.
“It’s a very strange situation with Chelsea and how they treat their managers,” Pires told bwin.
“Sarri is a very good manager and he performed very well with Napoli, but it’s hard to see him at the club next season.
“There appears to be a lot of player power at Chelsea that he is struggling to overcome like many have before him.
“I think Zidane would be a very good appointment at Chelsea. He would demand respect from the Chelsea players and control the dressing room as a result of everything he has achieved both on the pitch as a player and on the bench as a manager.
While tipping one fellow Frenchman to fill another high-profile post off the field, Pires is looking forward to seeing another continue to thrive on it.
Kylian Mbappe has already established superstar status at 20 years of age, as a two-time Ligue 1 champion and World Cup-winning hero, but the Paris Saint-Germain striker is being backed to take his game to even greater heights and land the Ballon d’Or at some stage.
Pires said of a precocious talent: “I think Mbappe will win the Ballon d’Or, there’s no doubt about that.
“He is football’s next big star and could reach the same status as [Cristiano] Ronaldo and [Lionel] Messi. It’s a matter of when he will win the Ballon d’Or rather than if.
“He is very consistent and he is never injured. Mbappe always performs whether that’s in Ligue 1, Champions League or with the France national team.
“He maybe just needs Ligue 1 to get more recognition so he is appreciated more and as often as his performances deserve.”