Raised in Daly City, California, before moving to Iowa, Parry attended Linn-March High School in Marion, Iowa, and was a three-year varsity letterwinner at offensive and defensive tackle. He then played for the Stanford Cardinal, and in 2014 was a finalist for the Burlsworth Trophy.
He played college football at Stanford, and was drafted by the Colts in the fifth round of the 2015 NFL Draft. Indianapolis Colts On May 2, 2015, Parry was drafted in the fifth round of the 2015 NFL Draft by the Indianapolis Colts. He agreed to terms with the Colts on May 6.
Parry started all 16 games in the 2015 season, recording 31 tackles and 1 sack.
