Premier League - Fergie: Arsenal trophy wait too long
The Gunners have not won any silverware since 2005 when they claimed the FA Cup.
They were favourites to win the Carling Cup last season but Birmingham snatched a late winner to condemn the north London club to another season without a trophy.
Manager Arsene Wenger has found himself under increasing pressure, although it was alleviated a little with their qualification for the Champions League in midweek.
However, United have continued to accumulate trophies and last season they became league champions for a record 19th time.
On the prospect of going six years without winning anything, Ferguson said: "I wouldn't have allowed that to happen.
"You know, I don't contemplate these things.
"Arsene has got his way and I've got my way and, you do the best with what you believe in. And that's what Arsene is trying to do. It is a different way of management."
The Gunners visit Old Trafford today with just one point from their two Barclays Premier League games so far this season.