The Colombian frontman's form over the past 12 months has seen him linked with a host of teams, including Chelsea, Manchester City and Arsenal.
However, the 26-year-old has insisted that he is "happy" to remain at the Vicente Calderon for the time being.
"I am happy and enjoying myself at my club," he told Spanish television show Punta Pelota.
"I am not thinking about leaving at the moment. I never think about it. That idea is not in my head but we will see what happens in the future."
Falcao joined Atletico from Porto in 2011.