The St. Louis Quarterback Club selected Parish as the Cardinals' team Rookie of the Year in December 1970.[5]
As a member of the Cardinal, Parish set the school record for single-game tackles against Oregon State in 1968, making 23 stops, a mark he would hold for 18 years until Dave Wyman surpassed it.[6] As a senior, he was selected for first-team All-America honors by the AP, The Sporting News and Time.[7]
In 1971, then-Stanford coach John Ralston called Parish "the finest linebacker" he had ever coached, adding: "In his three seasons (at Stanford), he has never given anything less than 110-percent effort."[8]