Schremp's early years were marked by a passion for hockey and a dedication to honing his skills. As a talented forward, he showcased exceptional abilities in stickhandling, playmaking, and scoring. His standout performances in youth and junior leagues set the stage for his transition to higher levels of competition.
The pivotal moment in Schremp's career came in 2004 when he was selected by the Edmonton Oilers in the first round of the NHL Entry Draft. This marked the beginning of his professional career, and expectations were high for the young prospect. He spent several seasons within the Oilers' organization, including stints with their AHL affiliate, the Springfield Falcons.