Pellegrini has locked horns with Guardiola on a number of occasions and he expects the former Barcelona boss to be as successful in Germany as he was in Spain.
"It is very difficult at this moment to improve with Bayern because they won the last three competitions but he (Guardiola) will find a way because he is a very good manager," said Pellegrini.
"He knows the way we play so he will try different things. But we know things about Guardiola, too. I lived in Spain nine years so I know exactly the way Guardiola plays."
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