The 28-year-old has fired a warning to Premier League defenders by claiming that his move to England has made him hungry to prove himself all over again.
"For me it is amazing," he told the Observer. "I am very happy. I hope to give my team the best and help to bring a lot of goals and victories.
"I think I have lived this week very intensely. It hasn't been the most comfortable week to work in, with all of the changes, but I have lived it like a kid.
"I have had the same feeling as when I debuted for the national team. It was very exciting and special and I enjoyed being back."
Falcao is believed to have applied for a fast-track visa to enable him to make his United debut when Queens Park Rangers travel to Old Trafford next Sunday.