Roberto Di Matteo was axed as coach at the Hawthorns on Sunday after a run of 13 defeats in 18 matches, with first-team coach Michael Appleton placed in charge on a temporary basis.
But a source close to the former Bolton, Newcastle and Blackburn boss has confirmed he will not apply to succeed Di Matteo.
Also in the frame are the likes of Roy Hodgson, Chris Hughton, former Albion skipper Derek McInnes and ex-West Brom player Martin Jol.
But sources close to Albion insist no replacement for Di Matteo had been lined up before the decision was taken by the board to dispense of the 40-year-old Italian's services.
Roberto di Matteo in his last interview as West Brom boss before being sacked.