Edmonton (3-0) took a 1-0 lead just eight minutes in when Schremp, last season's leading scorer in the OHL, scored on a two-man advantage. He completed a perfect tic-tac-toe passing setup from Petr Sykora and Ales Hemsky.
Hemsky, the Oilers' top scorer with 77 points last season, and Sykora -- who signed as a free agent -- have quickly shown good chemistry together.
The Oilers took advantage of another two-man power play seven minutes later when Raffi Torres tipped in Sykora's point shot to make it 2-0.
Toby Petersen bolstered his case to make the Oilers roster when he scored five minutes into the second period. Petersen beat former Edmonton goalie Mike Morrison with a stick-side shot that gave the Oilers a 3-0 lead.
Phoenix finally got on the board late in the second period when Josh Gratton slipped a shot past screened Oilers starting goalie Jeff Drouin-Deslauriers.