Hamann, who spent time working at the King Power Stadium in a backroom role six years ago, believes that City should instead look no further than Rodgers.
"Leicester should go for Brendan Rodgers. He has done a fine job at Celtic, but the defeats by Paris Saint-Germain and Bayern Munich have shown him that he can go no further," the Scottish Sun quotes him as saying.
"The gulf between the best in Scotland and the best in Europe is immense. His record at Liverpool more than stands comparison with Jurgen Klopp and he could definitely get Leicester into the top half."
Rodgers spent three years at Anfield before being sacked in 2015, while also boasting managerial experience with Watford, Reading and Swansea City.