"I think Arsenal will feel it's a bigger game for United and the pressure is heaped on us. But those players know how to respond to that as they have been through it many times and know what it takes to win this type of game. United know the pressure is on and it's a must-win game for them so I'm sure they will be ready and can't wait to get stuck in on Sunday."
Former centre-back Pallister is convinced that the media were eagerly anticipating United losing an air of invincibility following Sir Alex Ferguson's retirement but feels the appointment of David Moyes will ensure the club continues to compete for the top honours.
"Listen, everybody was wanting the team to get off to this kind of start," he asserted. "They have been looking for a bit of fallibility in United for a long time. The manager left after 26 years, there's a new man at the helm and everything is being scrutinised and dissected.
"The amount of points dropped has been disappointing but we knew it was always going to be a tough start with Liverpool and Manchester City away and Chelsea at home. So it was always going to be difficult to get any momentum as you can always lose those games. Losing to West Brom wasn't on the cards, though, and drawing with Southampton wasn't in
Gary Pallister was promoting The Manchester United Themed Chevrolet Trax Auction.
For your chance to own a Chevrolet Trax signed by United players, bid online at www.ebay.co.uk/trax-man-utd.
The auction closes at 19:00 GMT on Wednesday 6 November.