The Italian has dismissed suggestions that the Colombia international wants to leave Monaco during the upcoming January transfer window
The 27-year-old has not featured for Les Rouge et Blanc since being substituted in the win over Nantes on November 24, leading to speculation regarding an exit only six months after arriving from Atletico Madrid.
However, Ranieri has insisted that Falcao has missed the Ligue 1 side's last three games through injury before adding that the attacker could return to action at Guingamp on Saturday.
"There is absolutely no problem with Radamel," the former Chelsea boss said at a press conference.
"But even if I say that there's no problem, some people will still write the exact opposite, so everybody should write whatever they want.
"He should resume regular training on Wednesday and might play again at the weekend. We'll see."
Falcao has netted nine goals in 14 Ligue 1 appearances so far this season.