Sources have told BBC Sport that Bournemouth manager Andoni Iraola, Fulham head coach Marco Silva and former Dortmund boss Edin Terzic are under consideration as possible replacements for Rosenior.
Iraola, 43, announced last week that he will leave Bournemouth at the end of the season, while Silva’s contract at rivals Fulham is due to expire in July. Terzic, meanwhile, was under consideration by Tottenham to replace Thomas Frank when the Dane was sacked earlier this season.
Calum McFarlane will take over as interim manager until the end of the season.
McFarlane, who was Rosenior’s assistant, was in charge for a 1-1 draw against Manchester City and a defeat at Fulham in January after previous boss Enzo Maresca was sacked.
“As the club works to bring stability to the head coach position, we will undertake a process of self-reflection to make the right long-term appointment,” Chelsea added.
Rosenior won five of his 13 games in the Premier League and led the Blues to four victories in the FA Cup – all against lower-league opposition – to reach the semi-finals.
McFarlane’s first game in charge comes on Sunday when Chelsea face Leeds at Wembley for a place in the FA Cup final (15:00 BST).