The 27-year-old departed Atletico Madrid for Monaco only this summer, but it is believed that he is already angling for a return to Spain.
"He (Falcao) won't come in January but in June, who knows?" Perez told Punto Pelota. "Nothing is impossible and there is a lot of time between now and then.
"Falcao is a great player and I am aware that he wants to play for [Real] Madrid. I am aware of that, but it's normal. They told me."
Karim Benzema is currently Madrid's only senior striker.