The 26-year-old, who has scored 10 goals in his last five games, is now regarded as one of the best strikers in world football.
He has been strongly linked with a host of European clubs, but has moved to quell suggestions of an immediate move away from Madrid.
"I have a contract for more years. Now my reality is Atletico and I cannot think of anything else," he told Marca.
"I do not know what will happen in the future. The situation depends not only on the players and the management but also the economy of the clubs and even the country."
Falcao joined Atletico from Porto in 2011.