Falcao: "I just need to play"
The Colombian has not started for United since the 2-0 win over Sunderland last month and has scored just four goals in 22 appearances.
There now appears no chance of the club opting to make Falcao's loan move from Monaco permanent at the end of the season but the player insists he has not given up hope.
In quotes carried by the Manchester Evening News from an interview with Colombian radio station Radio Caracol, Falcao said: "I just need to play.
"I can't let myself get worried, I need to be prepared to take the opportunity when it comes.
"I am happy at the club and with how the fans and my teammates have treated me. I will keep fighting until the end at Manchester United."
Falcao is currently on international duty preparing for his country's friendly games in Bahrain and Kuwait.
And the 29-year-old appeared to acknowledge that he would need certain assurances in the increasingly unlikely event United move to extend his Old Trafford stay.
"When the championship finishes, of course I will sit down, analyse things and decide what is best for me," Falcao added.
"Obviously I need to find a place where I have continuity and where I can play.
"I am totally focused on the club. There are eight games left and anything can happen."