Ivanovic moved to Stamford Bridge after Mourinho had departed the club but he has hailed the 50-year-old after meeting him for the first time.
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Ivanovic told B92: "We had our first meeting with Mourinho. He looks very impressive which is very pleasing.
"I think that with him in the future, Chelsea will act as a team, but we will also improve individually.
"I think that he is very important for the club and for the fans, and that we will be able to meet his expectations."
Mourinho has already been busy strengthening his squad this summer, completing deals for Andre Schurrle and Marco van Ginkel from Bayer Leverkusen and Vitesse respectively.