Amuneke signed a two year contract with the TFF in 2018 and successfully qualified the country for the ongoing African Cup of Nations after 39 years absence.
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It comes after the Taifa Stars, who competed in their first Nations Cup since 1980, failed to progress to the knockout stages of Egypt 2019, finishing bottom of their group with three defeats.
Tanzania, staging a come back after 39 years absence from the competition, lost all matches in Group C to Algeria, Senegal and Kenya to crash out of the 2019 African Cup of Nations tournament.
Yildirim Demiroren on Thursday stepped down as Turkish Football Federation chairman.