The Gunners secured a 2-0 victory as Calum Chambers scored just 21 seconds after coming off the bench before Nketiah tapped in.
It was just the 22-year-old's second appearance of the season, his first coming in the third-round success over AFC Wimbledon, and he is out of contract in the summer.
Mikel Arteta hopes Arsenal striker Eddie Nketiah stays at the Gunners beyond this season
Nketiah (left) scored Arsenal's second in a 2-0 Carabao Cup victory over Leeds on Tuesday
England's all-time record goalscorer at Under-21 level saw a move to Crystal Palace break down in the summer but, despite his limited minutes, Arteta is keen for Nketiah to sign a new deal with the club.
'We had a situation in the summer that