The 64-year-old has guided City to the top of the Barclays Premier League and they have a five-point lead ahead of Saturday's trip to Crystal Palace
Italy manager Antonio Conte has announced he will leave the national side after Euro 2016 and is expected to become the new boss at Chelsea
But Ranieri, who signed a three-year deal when he replaced Nigel Pearson last summer, said he has no intention of leaving the King Power Stadium now.
"No team can change my mind. I am very proud if they are thinking about me in Italy and everywhere but this is my club," said the Italian.
"I want to stay here, if my owner is happy I stay here. There is nothing to change my mind. There are a lot of things to do here. We are just starting to build. If the owner is happy with me, I am happy with him.
"If it's possible I would like to stay (for) a long time."
Source: PA