On the international stage, Gaze forged his reputation as one of Australia's finest products, appearing at the 1984 Los Angeles Olympic Games, as a 19-year-old. He led all scorers at the 1994 FIBA World Championship with 23.9 points per game, leading the Aussies to a fifth-place finish. In 2000, he became (jointly with American Teresa Edwards) the third basketball player to compete at five Olympics, after Puerto Rican Teófilo Cruz and Brazilian Oscar Schmidt. That year, Gaze was the flag bearer at the opening ceremony of the Sydney Olympics, and he was also the Australian Team Captain. At the 1996 Atlanta Olympics, he led the Boomers to their then best Olympic performance, a fourth-placed finish, with a 5–3 record.