Mihajlovic spent six years with Lazio and was signed for that club by his mentor, Eriksson.
He said: "Ranieri is a great Coach and a lovely man. He reminds me a lot of Eriksson. When I look at him, I think of Sven, who was like a father to me."
Roma are flying high in second place and have cut the gap from the top of the table to seven points.
"I don't believe that can realistically win the Scudetto, though," mused Sinisa.
"Inter are still the strongest of all and I don't know if tomorrow Ranieri will get three points against my Catania, so we'll make it even tougher for them."