The League Two club parted ways with Mark Hughes two days ago following a string of disappointing results, ending his 19-month tenure at the University of Bradford Stadium.
His second in command, Glyn Hodges, also accompanied the 59-year-old manager through the exit door.
Bradford’s CEO Ryan Sparks expressed his gratitude for the contributions made by Hughes and Hodges, especially during their near-promotion winning campaign last season.
However, Hughes was dismissed after a start to the season that included just three wins in 11 games, leaving the Bantams in 18th place.
The supporters also expressed their dissatisfaction at the former manager following their recent defeat to mid-table Walsall on home turf.
Kevin McDonald has been appointed interim boss and will serve the club in a player-manager role, while Bradford search for an experienced permanent manager.
Neil Warnock and Leam Richardson previously emerged as likely candidates to replace Hughes, but other managers are in contention.
They include Thompson and Redfearn, currently in caretaker charge of Oldham Athletic, who are also under consideration by the top decision-makers at Bradford.
While their chances of landing the permanent job at Boundary Park hinges on the result of Saturday’s contest against Dagenham & Redbridge, Bradford are keen to interview the duo over the vacant role at Valley Parade.
Redfearn is a familiar figure in Yorkshire, having previously managed local rivals Leeds United. He had three separate stints as caretaker manager with the Peacocks before landing the permanent top job in 2014.
During Redfearn’s time at Leeds, Thompson served as his assistant. However, their tenure was cut short by Massimo Cellino, the club’s owner at the time, who later appointed Uwe Rosler as Leeds’ boss.
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