The Canaries were beaten 2-1 by Fulham at Carrow Road on Boxing Day after Rooney had scored a dazzling volley to help United recover and win 3-2 at Hull in the early kick-off.
But ahead of hosting the Red Devils, Bassong said: "It is the same as playing against someone else, no different.
"Yes, he (Rooney) is a star player, we all know that, but we have been playing against loads of really good players, so maybe I will watch him a bit more, but that is it.
"There are loads of top quality strikers in the Premier League, so I am not going to just focus on one every game.
"I know I am going to play against them, so I have to adapt myself. I am going to be playing against a good striker every week, so if I want to show I am a good player, then I have to cope every week.
"Wayne Rooney is a terrific player, England's star (man), but in Manchester United there are other terrific players too, so I cannot only focus on him. But I like it, that is what I am playing football for, otherwise it would have been boring."
Norwich manager Chris Hughton added: "Manchester United are a team full of quality, but we are playing at home and it is an opportunity for us to bounce back from yesterday's result.
"It is the type of game which lifts everybody, lifts our supporters and is a game which we should look forward to."