The Spaniard, who left Liverpool by mutual consent after six years in charge, has the unenviable task of trying to match Mourinho's stunning success in winning an unprecedented Italian treble last season before quitting to join Real Madrid.
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"Mourinho has done a great job here, but I'm different. I like to win, to play well if it's possible," Benitez told a packed news conference at his unveiling on Tuesday.
"My objective is to keep a winning mentality and play good soccer."
"I'm sure I will stay longer, if I do well," he said.
Portuguese winger Ricardo Quaresma, who endured a tough two seasons at Inter, has moved to Turkey's Besiktas.
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