 In 1962, Kunkel split time between the A's and the Triple-A Portland Beavers, appearing in nine MLB games (3.52 ERA in innings) and 10 Triple-A games (5.12 ERA in 51 innings).On August 3, Kunkel and Leo Posada were traded to the Milwaukee Braves for Orlando Peña.Kunkel finished the 1962 season with Milwaukee's Triple-A affiliate, the Toronto Maple Leafs of the International League, pitching to a 6–1 record with 2.35 ERA in 15 games (two starts) and 46 innings of work.