The Italian coach was sacked following their 3-0 defeat to PSG in the Champions League and a slow start to life in the Bundesliga.
Munich’s loss to the Ligue 1 giants was their biggest in Europe’s elite club competition at the group stage in 21 years.
His assistant manager Willy Sagnol has taken over in a caretaker role for the time being while Munich are on the hunt for a permanent replacement.
Former Borussia Dortmund boss Thomas Tuchel and Hoffenheim’s young coach Julian Nagelsmann have been touted as possible replacements.
But Transfermarketweb claim the German giants have contacted former Barcelona boss Enrique about a possible switch away from Spain.
Enrique guided Barcelona to just their second treble in his first season in charge, with Pep Guardiola clinching the first.
He then led the Catalan club to a second successive La Liga title and another Copa Del Rey triumph the following year.
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Carlo Ancelotti was sacked by Bayern Munich last month
But Enrique shocked the world of football in March earlier this year when he announced he would step down as the Nou Camp manager, citing a need to rest as his reason for leaving.
“I need to rest. I would like to thank the club for the confidence they have shown in me,” Enrique said at the time.
“It’s been three unforgettable years. It’s a very difficult decision for me, one I’ve thought about a lot, but I think I need to be true to myself and fair to my way of thinking.”
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