Battey was recognized as one of the top catchers in the major leagues when he was selected to be the starting catcher for the American League in the 1962 All-Star Games. He was the Twins catcher on August 26, 1962, when pitcher Jack Kralick threw a no-hitter. Battey appeared in a career-high 148 games and ended the season with a .280 batting average, highest among major league catchers. He also set a record for major league catchers by picking off 15 base runners as he won his third consecutive Gold Glove Award. The Twins, long an American League doormat while in Washington, finished a surprising second in the American League standings with 91 wins, 5 games behind the World Series winning New York Yankees.