Judge, rated as New York's No. 2 prospect, showed off his big league power by going opposite-field for a three-run blast in the seventh inning off Anthony Varvaro.
Carlos Beltran and Mark Teixeira also tallied RBIs for the Yankees, with Jacoby Ellsbury tripling and scoring a run in his spring debut.
Wright permitted two runs and five hits over three innings, walking one and striking out one. He threw 51 pitches, 36 for strikes.