Garcia is one of seven major leagues umpires who have officiated in two perfect games. He was behind the plate when Len Barker did it in the Cleveland Indians' 3–0 victory over the Toronto Blue Jays on May 15, 1981. Garcia was umpiring at second base for the one David Wells pitched in the New York Yankees' 4–0 win over the Minnesota Twins on May 17, 1998. Garcia also served as the home plate umpire for the inaugural game of the Tampa Bay Devil Rays on March 31, 1998.