Both sides come into the Premier League clash after poor performances, with United drawing 2-2 with 20th-placed Fulham at Old Trafford on Sunday and the Gunners having been thumped 5-1 by Liverpool on Saturday.
Despite a disappointing result against the Cottagers, though, Moyes wants his team to keep doing what they have been doing in the expectation that their "luck will change".
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"We got a good result against Arsenal here at Old Trafford earlier in the season and we'll try and do the same again. I think we've played better [than that match] - in several games - but in that one we got the one goal and that sometimes makes the difference.
"We'll go and play the way we are. We are a top side and hopefully we'll go and show that we are. We'll play well and do everything we can to pick up all three points."
Further reflecting on the draw with Fulham, in which United put in 81 crosses but were undone by a last-gasp Darren Bent equaliser, Moyes argued that his side did not do badly.
"We played well and, in any other game, would have scored many a goal," the Scot observed. "Everyone keeps telling me about the stats and the opportunities we had. We had plenty of chances to win the game.
"Football does that sometimes and we've got to try and make sure it doesn't happen too often."