Bischel began his collegiate career for Notre Dame during the 2019–20 season, where he served as the backup goaltender behind starter Cale Morris.

During the 2020–21 season, he appeared in nine games, and posted a 3–4–1 record with a 2.87 GAA and .890 save percentage, serving as a backup to Dylan St. Cyr.

During the 2021–22 season, he appeared in 16 games, and posted a 10–4–0 record with a 2.08 GAA and .924 save percentage, splitting starting time with Matthew Galajda.

Following the season he was named a semifinalist for the Big Ten Player of the Year and Mike Richter Award.

[5] In March 2023, Bischel announced he would use his COVID-19 pandemic extra year of eligibility and return to Notre Dame for a fifth season.