The Reds face an Eagles side that has been in fine form since Pulis replaced Ian Holloway at the helm, and the United boss realises it will be a difficult test against a club many had written off in terms of retaining their Barclays Premier League status.
"I'd never be disrespectful to any manager because I think Ian Holloway did a brilliant job of bringing them up and getting them going the way they are," explained Moyes at Friday's pre-match press conference. "They have a great crowd behind them.
"However, I think Tony Pulis has showed all his experience. A lot of people were writing Tony off during his time at Stoke City but he hasn't half gone in there and made a few people eat their words. Results are what matter and you have to think about where Crystal Palace were and where they are now. What matters to Tony is results and he's very good at getting them.
"Tony always has his sides well organised and well drilled," added the boss. "The players are made well aware of how he wants them to play and what's expected from them. He's had great success throughout his career. He's been a really successful manager in the Premier League. If he keeps Crystal Palace up, there won't be anybody in this room or any other journalists who'd have thought they'd stay up. He's doing a great job with them."