To emulate that brand of counter attacking football, you need both raw pace and the ability to knock a ball first touch exactly where you want it to go. That Park goal for example - it was a simple move and I remember the S form boys at school telling me they'd drilled moves like that. Win it on the edge of the box, centre forward drops short and knocks it first touch to a midfielder or full back moving forward, and a runner (winger, midfielder, striker, whoever) is haring 'in behind', while the oncoming player knocks it long into his path for a run in on goal.
Man Utd played it simple and one-touch, and they were sprinting. We have players in our side who need a touch before they can knock it that precisely.
As it happens, we have players who need a touch, but their second touch is a tackle.
Maxi is an example of someone who can play that way, albeit he doesn't seem to have the pace to do the hare part. Man Utd on the other hand have Nani, Valencia, Park, Giggs, and Rooney who can all do that stuff, and enough quality deeper to deliver the right ball.