Wayne Rooney had been dismissed as manager of Birmingham City after just 83 days in charge of the Championship team.
After the contentious decision to fire John Eustace by new American owners, Shelby Companies Limited, the 38-year-old was appointed on October 11 when the Blues placed sixth on the Championship table.
After that, Blues have dropped to 20th place; their 3-0 loss to Leeds on Monday was their ninth defeat in 15 games.
Rooney, the former captain of England, has managed DC United of Major League Soccer and Derby County in the past.
Rowett, the former manager of Milwall, is already being mentioned as a candidate for interim manager.
The Blues’ trip to Hull City in the FA Cup third round on Saturday comes with them six points clear of the relegation spots.
