Ibra has since moved onto world champs Barcelona, but City still have the readies to test their resolve over the super Swede.
Mancini told Italian website francorossi.com: "If City finish in the top four we will look for players of the highest level.
"I would like to have Maicon. With Ibra there's always been a rapport of great loyalty.
"He's world class. Which manager in the world wouldn't like Ibrahimovic?"
He added: "City is the best club in the world for an ambitious manager.
"There are very, very good players there but we must improve as it won't be easy to get to the top four."