Moroski played in every game of each of the 1983 and 1984 seasons as well as 15 in 1986. He threw for over 1,200 yards in 1984. In his final season, when he played for the 49ers, Moroski threw Jerry Rice one of his NFL record 197 touchdown receptions.
Moroski was a coach as his alma mater, UC Davis, starting in 1988, not long after the completion of his NFL career. He started as the junior varsity coach and worked his way up to offensive coordinator. He served in that role for more than 15 years. Moroski also coached the offensive line for UC Davis.
Moroski was announced as the new head football coach for the College of Idaho on January 9, 2013.