Devan Dubnyk faced a modest 14 shots in chalking up the shutout and the Oilers' second consecutive win after a five-game losing streak.
Columbus deployed Segei Bobrovski and Curtis McElhinney in goal, but neither one could shut down the Oilers. Bobrovski allowed four goals on 18 shots and McElhinney gave up three goals on 14 shots.
Perron scored his first goal on a power play at 12:01 of the first period and added his second on a one-timer at 8:30 of the second period to make it 4-0. Edmonton was 3-for-4 on the power play while the Jackets failed to convert on their only power play.