The Spaniard made the move to the Etihad on Friday along with Fiorentina striker Stevan Jovetic as Manuel Pellegrini strengthened his strikeforce ahead of the new season.
The attacking duo join winger Navas and midfielder Fernandinho as the new arrivals at City so far this summer as the club look to wrestle back the title they lost to Manchester United last season.
Negredo spent the last four seasons playing alongside Navas in Andalucia and is hopeful that the two men can combine successfully for City next term.
"Before the official confirmation of my transfer I phoned Jesus (Navas) and Javi Garcia," he told mcfc.co.uk. "They were very happy and I am too. To be team-mates again is great.
"Jesus is a great guy, he's a spectacular player. I hope I can keep scoring with his assists."
Negredo was fourth top scorer in Spain last season with 25 league goals, behind Lionel Messi, Cristiano Ronaldo and Radamel Falcao.
The 27-year-old is also familiar with his new boss with the Chilean having spent the best part of the last decade managing in Spain and the Spain international believes he will fit in well with his manager.
"Pellegrini's football is very attacking, attractive, he loves to have ball possession, play passing game," he said.
"He has accomplished great things in Spain. So it will be a pleasure to work with him.
"He phoned me, he explained to me how he envisioned this project. But I didn't really need much persuading to come to play in a team like this but, yes, he was convincing."
He added: "I have always thought this league could be good for my style. It's a very important moment in my career.
"I am signing for a great club like Manchester City, it's a dream to be here.
"I am here to work hard and help my team-mates so that we can become the best we can together.
"I want to try to lift some trophies here."
With the exit of Carlos Tevez, City were looking light up front but the additions of Negredo and Jovetic to go with Sergio Aguero and Edin Dzeko provides them with a threatening front-line.
Although Jovetic missed the entire 2010-11 Serie A season due to a cruciate ligament injury, he became a key part of Fiorentina's system nevertheless. He hit 14 goals in the 2011-2012 campaign and added 13 more as Vincenzo Montella's men finished fourth in May.
Jovetic has also represented the senior Montenegro side since 2007, playing 27 times and scoring 10 goals.
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