The Colombian striker's Dad insists his son has never told him he wants to leave the Ligue 1 club but did not rule out the possibility of him signing for the European Champions
The Colombia international has been linked with a big-money move away from the Ligue 1 side, despite signing a five-year deal upon completing a €60 million switch from Porto last summer.
Monaco recently insisted their prized asset - who has just returned from a cruciate knee ligament injury - would not be leaving the club, but Falcao's father left the door open to a transfer.
“I’m not saying he [Falcao] will leave. I’m only saying that he has a contract with Monaco,” Radamel Garcia told Cadena Cope.
“My son has never told me that he wants to go from Monaco, but, with him I don’t talk about football.
“My son has a contract for four years [at Monaco] and he is serving it.
When asked about Falcao potentially playing under Carlo Ancelotti at the Santiago Bernabeu next year, Garcia added: “If my child ought to play or not [at Real], depends on Ancelotti.”
Falcao, 28, made his long-awaited return from injury when Monaco played out a 2-2 draw with Valencia in the Emirates Cup in London last week and scored the only goal the following day as the French outfit beat Arsenal 1-0 to win the tournament.
The Colombia international missed his nation’s World Cup campaign in Brazil this summer after suffering an anterior cruciate ligament injury in his left knee in January.