An injury-time winner from Wayne Rooney sent United to Wembley.
United won the game 3-1 thanks to goals from Paul Scholes, Michael Carrick and Wayne Rooney. Carlos Tevez scored City’s goal.
Fletcher told Sky Sports: “Everyone was up for it. Even after Carlos scored we were not that worried.
“We dominated the second half after a tight first half and Wayne popped up with an unbelievable winner. He has been doing that all season.
“We had been expecting the game to go to extra-time but overall I think we deserved the victory.”