There was a noticeable improvement from Arsenal after the break, but still they struggled to test Edouard Mendy on a regular basis.
Chelsea appeared content with their work for the afternoon, sitting back and inviting pressure from Arsenal.
The Gunners now have an EFL Cup tie against West Brom on Wednesday before another tough league test against Manchester City.
Arteta will be hoping to have more of his squad available, including Martin Odegaard after his move from Real Madrid.
And four players who started against Chelsea may face a fight to keep hold of their spot.
Pablo Mari was at fault for Lukaku’s goal, being brushed aside as the Chelsea striker tapped in from close range.