I just see Arsenal repeating same thing they did in the premier league last season, just take a look at how Arsenal started very well this season just to reach this stage and starts losing points. Well, it's obvious that Arsenal may not really be strong enough to stand as title contenders this season so their match against Crystal palace may not be certain to whether they can defeat them regardless of the fact that they are playing in their home ground after all, they lost against Westham in Emirate stadium so it wouldn't be a surprise if Crystal palace also do the same.
I think is too early to predict Arsenal final position in the Premier League. Last season, Arsenal performed very well, even lead the league, but they finished the season to end up in second position. That's how they lost their chance to winning the Premier league title. Arsenal has stronger players than last season, yet they are still losing their matches. As Arsenal perform well from the beginning of the season, I thought that is how their performance should be throughout the season. However, Arsenal fail to maintain their position at the top. If Arteta continues to improve his team, I believe Arsenal still has a chance to move to the top.
Since Arsenal lost to West Ham and Fulham, which they have strong players capable of defeating any club in the Premier League, it's still difficult to predict the outcome of their upcoming match against Crystal Palace. Still, Im believing that Arsenal are going to win, because we can't always anticipate bad outcomes from them.