Mourinho has admitted he would be open to returning to England, where he has already had several spells as a manager.
The Portuguese first arrived in the Premier League in the mid-2000s and won back-to-back league titles and three domestic cups with Chelsea.
Mourinho also won the Premier League during his second spell with the Blues a decade ago.
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However, spells in charge of Manchester United and Tottenham were not as successful.
The 61-year-old moved to Fenerbahce last summer, but is already being linked with a move away and a possible return to the Premier League.