Podkolzin, Mattias Ekholm and Alex Formenton scored, and McDavid had an assist for the Oilers (4-0-1), who have a five-game point streak to start the season. Tristian Jarry made 19 saves.
Macklin Celebrini scored in his return after missing two games due to a lower-body injury, and Yaroslav Askarov made 17 saves for the Sharks (3-2-0).
Ekholm put the Oilers up 1-0 at 12:37 of the first period. Isaac Howard worked the puck off the right boards and passed to Ekholm at the point, and his slap shot beat a screened Askarov over the glove.
Podkolzin extended the lead to 2-0 at 3:13 of the third period. McDavid sped down the left wing and fed Podkolzin at the top of the slot, where his one-timer beat Askarov to the glove side.
McDavid has 13 points (three goals, 10 assists) in his point streak, and Podkolzin has seven points (five goals, two assists) during his run.
Formenton then made it 3-0 at 5:40. He took a feed from Mathieu Joseph on the rush, moved in on Askarov and backhanded a shot over the goalie’s left pad.
Celebrini cut it to 3-1 at 11:19 with his first goal of the season. Michael Misa pushed the puck to Celebrini at the top of the left face-off circle, and the center scored with a wrist shot from the dot.
