Rosenior, 41, was let go following Chelsea’s 3-0 loss to Brighton, the club’s fifth consecutive Premier League loss without scoring a goal.
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The former Hull boss lasted just 107 days in the job, the shortest spell of a permanent manager in Chelsea history.
Several managers have since been linked with the job at Stamford Bridge, including Germany boss Julian Nagelsmann.
Nagelsmann, 38, was an option for Chelsea following the dismissal of Graham Potter, but the club opted to appoint Mauricio Pochettino instead.
According to The Telegraph, reports linking Nagelsmann with the job are way off the mark, and he has no intention of taking over.
Nagelsmann is fully commited to leading Germany at this summer's World Cup.