Mancini has already seen the club linked with the likes of Sweden international Ibrahimovic, CSKA Moscow winger Milos Krasic, Wolfsburg hitman Edin Dzeko and Real Madrid midfielder Fernando Gago over recent months.
"Many players are linked with City, often for convenience," he told Tuttosport.
"We are used to raise prices, but in reality we cannot buy dozens of players.
"Of course we aim to strengthen. Krasic or Dzeko? One really interests us, the other doesn't. Who? I cannot say.
"Ibrahimovic? In my opinion, Ibra is the best striker in Europe. It makes me laugh when people say he misses crucial chances."