Andros Townsend, a former Tottenham Hotspur player, levelled the match five minutes after the restart, however, a quick-fire brace from Alexis Sanchez ensured Arsenal would head back to North London with the three points.
Palace showed no sign of getting to grips with Arsenal, but they managed to avoid falling further behind before the break - Ozil tried to square to Sanchez when through on goal, only to get it all wrong.
Alexis Sanchez was on hand to put Arsenal ahead once more after 62 minutes, and he scored again just four minutes later to put the game out of reach. Jack Wilshere lifted a terrific pass over the top, Sanchez controlled on his thigh, delivered into his stride, and slipped past Speroni.
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30' - Kolasinac finds Sanchez, who slides a fine pass into the box for Ozil, arriving with ideal timing; six yards out, he flicks hard, and Speroni does well to save.
"We'll see when he [Wenger] speaks to me but I'm sure it will get done", Wilshere said.
50' - GOAL! Crystal Palace 1-1 Arsenal (Townsend) Townsend starts things at right-back and eventually the ball moves to Schlupp, who slides down the left for Zaha. The midfielder has been one of the most consistent players in Hodgson side this term and has popped up with important goals from the penalty spot, including the opener in the 1-1 draw with Swansea last time out.
Arsenal's silky German Maestro frequently pops up in the number 10 role, drifting behind the striker and pulling strings in between the lines of midfield and attack, meaning that Palace's Serbian stalwart Luka Milivojevic will be the unlucky man facing Ozil come Thursday night.
Crystal Palace's James Tomkins scores his team's second gola in the 89th minute.