In what was billed as a must-win game for both teams for very different reasons, Arsene Wenger started with three at the back for the first time since 1997.
But it was through a sublime Sanchez free-kick that Arsenal took the lead before Alvaro Negredo equalised just after the break.
Ozil won the game for the Gunners with 19 minutes remaining as they moved to within seven points of Manchester City in fourth with a game in hand.
