Emery has just guided Villa to the Europa Conference League semifinals and have them placed in the Premier League's top four.
Matthus told Sky Deutschland: "I would like Unai Emery from Aston Villa. He does a great job there. He has loads of experience and he has won titles with Sevilla.
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"He speaks excellent English. He can then learn German, but all the players can speak English anyway - so I don't see a language barrier.
"Emery would be someone who comes in with new perspectives, he would be new to the Bundesliga and that would be a good fit at Bayern Munich."