Arsenal manager Arsene Wenger could leave the club at the end of the season when his contract expires.
Wenger has made no commitment yet to penning a contract extension, while frustration is growing among Arsenal fans at their perceived lack of success.
Juventus manager Massimiliano Allegri remains favourite to succeed Wenger, with the Italian understood to be taking English lessons.
Who could succeed Arsene Wenger at Arsenal?
Wed, February 8, 2017
Express Sport takes a look at top candidates who could replace Arsene Wenger at Arsenal
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Who are the favourites to replace Arsene Wenger at Arsenal?
But Borussia Dortmund head coach Tuchel is also on Arsenal's radar.
Tuchel's price has dropped from 33/1 to 4/1 after reports in Germany suggested he was keen on the move to the Emirates.
Jurgfen Klopp's successor at Dortmund skirted around questions about his future yesterday, saying: "I can't say anything about that because I don't know anything about it."
Eddie Howe, Patrick Vieira, Joachim Loew and Ronald Koeman are also said to be on Arsenal's managerial radar.
Dortmund manager Thomas Tuchel is wanted at Arsenal
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Tuchel (left) replaced Jurgen Klopp as Dortmund manager
Arsene Wenger (right) could leave Arsenal at the end of the season
Next Permanent Arsenal Manager
M Allegri 7/2
T Tuchel 4/1
Eddie Howe 5/1
P Viera 12/1
Joachim Loew 14/1
Ronald Koeman 16/1