Rosenior achieved a seventh-placed finish with Strasbourg in Ligue 1 last season, securing European football.
The French side are part of the Todd Boehly and Clearlake Capital-owned BlueCo multi-club ownership group that also controls Chelsea – but he rejected suggestions he has been hired to toe the line of his superiors.
“I don’t think it is possible to be in this job and not be your own man,” added Rosenior.
“I understand, I am not an alien and I know what is being said in the press, but there is no way you can be a manager if you don’t make the decisions for yourself.”
Rosenior takes over a Chelsea team which is eighth in the Premier League after a five-match winless run, but still in three other cup competitions this season.
Italian Maresca left less than six months after he won the Fifa Club World Cup at the end of his first season at Stamford Bridge, departing amid internal tensions with the club’s hierarchy and ownership.
“At a club of this stature, the fans want success and they have every right to want success,” said Rosenior.
“To win over the fans, I have to win games of football, build a team that represents them. We are trying to build things in a different way.
“My job is to try to create a team where teams fear coming to Stamford Bridge.”
