The Colombia international joined Louis van Gaal’s side in a season-long loan deal from Monaco on deadline day.
Falcao was United’s sixth major signing during summer transfer window following the arrivals of Ander Herrera, Luke Shaw, Marcos Rojo, Angel Di Maria and Daley Blind.
And Rooney is excited by the prospect of Van Gaal’s new-look side.
"I don't know how Falcao's arrival could affect my role. I think it is a fantastic signing,” Rooney told reporters.
“He is one of the best players in the world. It is a real show of intent by Manchester United
"It is a thrill. We have an exciting team. I am looking forward to the challenges ahead and I want it to be successful."