Arsenal's chances against Crystal Palace are worrying me. Indeed, losing two consecutive London derbies must have affected their confidence. Arsenal has struggled to win at the Emirates versus Palace. Palace is still dangerous even though Zaha has moved to Galatasaray. I think Arsenal's chances of winning the league are limited. It takes a miracle to beat Palace and return to the top two. A tough path ahead makes me pessimistic.
There is no need to be pessimistic like that because Arsenal also does not want to embarrass themselves in front of their supporters against Crystal Palace at the Emirates Stadium. And if Arsenal can win at home against Crystal Palace, I don't think Arsenal will immediately move up to second place in the Premier League standings because they are hampered by the large number of goals that Manchester City currently has. But for third place, I think it will be more certain for Arsenal if Arsenal is able to win that match.
I agree with you, even though Arsenal win against Crystal Palace despite the fact that Arsenal's performance are very poor, Arsenal can't get the second place in the table because even among the top four Arsenal are the one that have the least goals, even for Arsenal to take over the third place with Aston villa they need to score 2-3 goals and not to concede any goal.