Marshall came to prominence in 1980, when in the third Test at Old Trafford he accounted for Mike Gatting, Brian Rose and Peter Willey in short order to spark an England collapse, although the match was eventually drawn despite Marshall taking 7–24. After 1980/81 he was out of the Test side for two years, but an excellent 1982 season when he took 134 wickets at under 16 apiece, including a career-best 8–71 against Worcestershire, saw him recalled and thereafter he remained a fixture until the end of his international career.