Fulham boss Martin Jol handed a full home debut to new signing Scott Parker.
With Craven Cottage hit by heavy rain, both teams went for eachother early and it was Olivier Giroud who handed the Gunners a 14th minute lead.
The France striker reacted first to a deflected effort from Aaron Ramsey and forced the ball past David Stockdale in the Cottagers goal.
Fulham fought back through Adel Taarabt, who twice had a decent chance to equalise.
But Lukas Podolski struck five minutes before the break with a rocket after clever wing play from Theo Walcott, so giving the visitors a comfortable 2-0 halftime lead.
After some threatening moments again from Taarabt early in the second-half, Podolski struck his second and Arsenal's third on 67 minutes.
A break from Walcott set up Santi Cazorla, whose pull back was thumped past Stockdale by the German.
However, any thoughts of a comeback were snuffed out by Arsenal, with Wilshere on and controlling the midfield for the remaining quarter of the game.
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