One of Peplinski's strengths was his durability. He missed only 24 games during his career, appearing in all 80 of the Flames' games in 1980–81, 1982–83, 1984–85 and 1986–87. He was named a tri-captain of the team, shared with Lanny McDonald and Doug Risebrough, in the 1984–85 season. For the 1988 Winter Olympics, the International Ice Hockey Federation opened the hockey tournament to all professionals. While the NHL refused to allow most of its players to participate, the Flames released Peplinski to the Canadian Olympic team. He appeared in seven games, scoring one assist for the fourth place Canadians.