The Italian had already worked at San Siro from 2004 to 2008, but returned after Walter Mazzarri was sacked.
"I don't know if it's the same as 10 years ago. Every moment is different," said Mancio at his Press conference.
"I was really young back then, it was my first very important club. Now it's different, so I probably don't feel the same."
There has been speculation over how long this move had been in the works, but Mancini assured it took less than 24 hours.
"I first received the phone call on Thursday night. I am very happy to be here. I need to start working and don't know how many days that will take. There isn't much time to deliver in football, so we must try to assimilate my ideas and discuss things with the players. We need to work fast and win fast, starting to work from today."
"When someone works abroad, he has extraordinary experiences with totally different ways of living football. These years have been important for me, including in what for me is the best League in the world, the Premier League.
"Galatasaray have extraordinary fans, so I had two great experiences and those can only help a Coach. Now I return to Inter and think everything I've been through over these six years can be useful for me."
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