There was only one club higher in the Barclays Premier League table than the Reds when the draw was made and yet it pitted Sir Alex's side with a taxing trip to the league leaders. A similar thing happened, of course, in last season's FA Cup third round when United had to travel to Manchester City's Etihad Stadium.
Yet Fletcher is far from daunted about the prospect of facing the European champions twice in quick succession next month, before another blockbuster encounter with Arsenal the following weekend.
"It's exciting," he insisted to MUTV. "It is what it's all about. This club is all about big games and that's another one.
"We want to progress in the competition. So we'll be going to Chelsea and looking to win.
"We know it's going to be difficult as they have started the season very well but the manager has got a big squad to choose from. Those three games will be massive so I'm sure everyone will play a part.
"We want to be in the next round and want to win every competition we're in."