A three-year starter at the University of Notre Dame, Rochell was strong his junior year but faded near the end of his senior year. He recorded slightly less tackles but had a sack and ten quarterback hurries. Rochell was noted for his consistency and work ethic even when the Fighting Irish were not finding success on the field.
Rochell was drafted by the Los Angeles Chargers in the seventh round (225th overall) in the 2017 NFL Draft. He was waived on September 13, 2017, and was re-signed to the practice squad. He was promoted to the active roster on December 12, 2017.