A right-hand top-order batsman, Shipperd never played a Test or ODI for Australia, but was part of two rebel tours to South Africa in 1985–86, and in 1986–87. On the 1985–86 tour Shipperd scored 397 runs at 28.35, with a top score of 79. On the second tour he played in one match scoring 53 runs at 26.50.
In his 112 first-class cricket matches he made 6806 runs at 42.27. He was a member of the Western Australia side that won the Sheffield Shield in 1980–81 and in 1983–84. His highest score of 200 not out was made from 571 balls at the WACA, playing for Tasmania. In the same year he scored the slowest first-class century ever by an Australian, taking 481 minutes to score his hundred.
Shipperd went on to coach Tasmania for 11 seasons and guided them to their maiden Sheffield Shield final in 1993–94. Under Shipperd, Tasmania made the final again in 1997–98 and 2001–02.