Mourinho, whose side faces Manchester United in a crucial Champions League last 16 clash on Wednesday, only took charge of the Nerazzurri last summer following the sacking of Roberto Mancini.
But he has already fallen out with both the Italian media and his Serie A rivals on several occasions, despite guiding Inter to the top of the table.
But Mino Raiola, Ibrahimovic's agent, has revealed that the Santiago Bernabeu in Madrid could be the Portuguese's next port of call along with the Swedish striker, who is also believed to be a target of Barcelona.
"I am sure that Mourinho does all that he can to go to Real Madrid," he told Il Giorno.
"He forced Massimo Moratti to spend 45million euro and now he's winning thanks to Roberto Mancini's earlier signings.
"If Zlatan decides to move, then he'll move.
"We keep receiving new bids. Real Madrid and Barcelona would do everything they could to get him. Ibra would score 40 goals a season in Spain."
