Entre los aspirantes ingleses se encuentran Sam Allardyce (Bolton), Alan Curbishley (Charlton) y Steve McClaren (Middlesbrough).
Cumbernauld-born Kean has been first-team coach under manager Sam Allardyce at Blackburn since August.
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It is understood Sam Allardyce, sacked by Blackburn this week, is being considered as a replacement.
Bolton manager Sam Allardyce said he is looking forward to testing his side against some strong opposition.
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Englishmen like Sam Allardyce, Alan Curbishley and Steve McClaren have been named as potential successors to Eriksson.
If it had been Sam Allardyce or Alan Curbishley the fans would still be having their doubts.
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Lee, 48, was promoted from assistant manager in April after the departure of former boss Sam Allardyce.
In January, Redknapp held talks with Newcastle to succeed Sam Allardyce as manager but eventually rejected the offer.
Speed, 38, was appointed by Sammy Lee in April when he took over from Sam Allardyce as boss.
Bolton boss Sam Allardyce admitted prior to this month's 1-0 defeat to Liverpool that he admires the player.
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The overhaul even extended into the front office, where Avram Grant was sacked and replaced by Sam Allardyce.
McDonald, 45, spent one season in charge of Carlisle and was assistant to Sam Allardyce at Blackburn Rovers.
Having trained with the club for two months, he left Brockhall with the arrival of new manager Sam Allardyce.
"The manager, Sam Allardyce, has already had a conversation with Gary, " Brown added.
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Sam Allardyce has been known as an overachieving manager for some time now.
Rovers boss Sam Allardyce labelled 32-year-old McCarthy "selfish" for missing training in an apparent effort to force through the move.
Meanwhile, Redknapp pledged his support to Bolton manager Sam Allardyce, who was also the subject of allegations made in Tuesday's Panorama.
This column will focus instead on the newest (re)additions to the Premier League: West Ham United and their manager Sam Allardyce.
Rovers boss Sam Allardyce has almost recovered following heart surgery and the match against Chelsea was Neil McDonald's last in temporary charge.
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Linganzi, meanwhile, moved to Deepdale on the recommendation of former Blackburn boss Sam Allardyce after a discussion with current Preston manager Phil Brown.
Newcastle manager Sam Allardyce criticised City for the hold-up and the Eastlands side responded with anger at him for making the dispute public.
The Georgian, 27, had been a first-choice under former bosses Mark Hughes and Paul Ince but has struggled under current manager Sam Allardyce.
The 85-times capped Wales midfielder spent six years with Newcastle before joining Wanderers in 2004 - taken to Bolton by current Magpies manager Sam Allardyce.
Newly-appointed Bolton manager Sam Allardyce will be hoping to even the history of results against the Dons in this competition over the last four years.
Bolton boss Sam Allardyce's response was to haul off Jaidi after just half an hour and Bruno N'Gotty's introduction did seem to shore up the visitors' defence.
Meanwhile, Blackburn boss Sam Allardyce will be wondering how his side could produce such an anaemic display after an encouraging run of one defeat in six league games.
Boss Sam Allardyce, who said he has recovered after feeling unwell, said he and most of his squad were in good health after an outbreak in the camp.
It was ultimately a miserable return to the Reebok Stadium for Sam Allardyce and the Rovers boss criticised his side for defending "like a bunch of old women".
Blackburn boss Sam Allardyce , whose side travel to the Emirates Stadium on Sunday, is another manager to have had a strained relationship with Wenger over the years.
Brian McDermott of Reading and QPR's Harry Redknapp are battling against relegation, while Alan Pardew's Newcastle and Sam Allardyce's West Ham are hovering just above the bottom three.
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