Yorke believes the players at the club are good enough to adapt and fit in effectively following the Colombian's signing.
Falcao's signing was a bit of a surprise but the club have signed a forward with a terrific goalscoring pedigree having previously shone for Porto and Atletico Madrid.
Some have questioned how Falcao fits into the side when the club already has two prolific strikers in Robin Van Persie and Wayne Rooney with United playing a 3-5-2 formation, but Yorke doesn't think there will be a problem, and believes manager Louis van Gaal will continue to play the same system
Appearing on Sky Sports News, Yorke said: "He's the best goalscorer in the world right now and I'm sure he'll just be the number nine. Of course we've got Rooney and Van Persie there at the football club - these players could drop in behind play either left or right side of him as well. I don't see that being a problem. These players are all tremendous players.
"When you look at the firepower that Man United does possess at this stage, its a frightening prospect for defenders in the Premiership for the remainder of this season.
"It's a big statement. The fact you haven't got Champions League football, there's a lot of doubts about Manchester United - certainly in the past 12 months in terms of where the club has gone. We haven't just seen one marquee player, we've seen two significant signings in Angel Di Maria and now Falcao. It's a clear statement of intent that the club is trying to get back to the top."
Manager Louis van Gaal may have to work out how he fits three strikers along with the creativity of Juan Mata and Angel Di Maria into the same side with the same system when they're all available. The likelihood is that the United boss will have to leave out a quality player, something which the Dutchman won't be afraid to do.
It gives United a selection headache in the final third of the field, but with players that are full of quality, it is a nice problem for van Gaal to have.