The luck that Liverpool have is that they have already established a very good lead on the Premier League table so losing at this point is something that is going to be very difficult and impossible. Even if they don't do well, they will keep heading to win the trophy even if they draw games. This remaining side of the season should be a time for the Arsenal coach to plan for next season because his team definitely needs a lot of squad depths to be able to compete to win the Premier League. And the longer he stays without being able to win the Premier League the harder for him and the slimmer the chances for him to keep his job.
Liverpool have done well this season and have handed themselves a huge advantage in the league title race over Arsenal with the good point gap they have. They are indeed lucky they secured this much lead if not they may have struggled in the league with the recent decline in form. Liverpool would have been under pressure fighting not to lose any game.
And I think that point gap is what is exactly making them to lose their edge because their lost to fulham was really unexpected, I mean they are out of the champions league and every other competition that one would say maybe it's because of those games at hand that made them lose but that's a different case to this game today and it was so annoying seeing how fulham really out played them with good decisive attacks.