The 41-year-old will take charge of his first match as Chelsea head coach on Saturday, when the Blues travel to Championship side Charlton Athletic in the FA Cup third round.
His appointment follows the departure of Enzo Maresca, whose spell in charge was marked by inconsistency and concerns over the squad's lack of experience.
Chelsea currently boast the youngest squad in the Premier League this season, underlining the scale of the club's youth-focused strategy.
Tosin Adarabioyo, at 28, is the oldest player in the senior group, highlighting how heavily the squad is weighted towards emerging talent.
Maresca previously suggested that this inexperience could prove problematic in the pursuit of silverware, particularly during demanding periods of the campaign.
Rosenior, however, has cited Manchester United's 'Class of '92' as evidence that youth can be a foundation for sustained success. That celebrated group, featuring David Beckham, Paul Scholes, Gary Neville, Phil Neville, Nicky Butt and Ryan Giggs, broke into the United first team at the same time and went on to dominate English football during the 1990s under Sir Alex Ferguson.
"People will throw this [at me] but I was a Manchester United fan and I am now massively a Chelsea fan," said Rosenior.
"I remember Sir Alex Ferguson was brave enough to put six, seven players between the ages of 19 and 21 in his team, in a title-winning team, because he believed in them.
"What they did is they grew and they won trophy after trophy after trophy. It was an amazing period in that club's history. Without that bravery, that does not happen.
"There is potential for that here. There is potential. It's not reality. There is potential for that. Speak about Moises Caicedo or Enzo Fernández or Cole Palmer or Reece James -- world-class players and still very, very young.
"That is the ultimate ambition for this club -- to create that again. I'm not trying to say I'm going to deliver that and it will definitely happen. But I will not limit the ambition of the club.
"My job, I've shown at Strasbourg, I can work with young players, I can improve them and win games at the same time. There is no reason why I can't do that here, either."