The England midfielder made his return after 14 months out through injury in the game.
He is unlikely to be in contention for the Arsenal first team until after the international break.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.