The 41-year-old signed a five-and-a-half-year deal with the west Londoners after the sacking of Enzo Maresca who helped the side to the Club World Cup and Conference League during his tenure.
The Englishman has made a positive start, winning seven of his first 10 games in charge. However, like any top role in football, pressure is always building on Rosenior to find success as fans look towards next season.
Can Rosenior win the Premier League?
This season, the Premier League is far out of Rosenior’s reach, but supporters will expect the side to challenge next season. Petit spoke on the problems that may crop up for Rosenior, who has proven his worth so far.
"Can Liam Rosenior ever win a Premier League title with Chelsea? They've been changing players every single year. So consistency and stability are very important if you want to win something," he said, via Ignition Casino.
"Look at Manchester United, look at Spurs, look at Chelsea, all those clubs," the Frenchman continued. "They've been changing players and managers so many times. And then all of a sudden you want them to win the title?
“And you're asking me if Liam Rosenior is capable of winning the title with Chelsea? I'm not sure if he's going to be the manager in 10 months. If he has three or four bad results in a row, I will not be surprised if the board sacks him."
Rosenior spoke on that pressure himself recently: "My motivation is just to make this club as successful as possible and to win the next game. All my energy and time is focused on my players, the team, the way we do the team meetings and the way we train. The other stuff is just noise, and I can't affect it anyway - apart from by winning games of football."