The Gunners went ahead early in the second half when Nicolas Pepe's angled effort deflected off Christian Fuchs for an own goal.
Hector Bellerin then set up Eddie Nketiah to seal in the final minute with a simple close-range finish.
In his post-match press conference, Arteta was pleased with how his senior played led the side.
"I'm really happy with the performance, especially the attitude," he said. "The senior players really took the lead."