Parra earned his second Gold Glove last season when he set a club record with 17 outfield assists. That Gold Glove was for right field. He earned one as a left fielder in 2011, making him the first player to win the award in two outfield positions.
Parra hit .268 with 48 RBIs in 156 games, reaching career highs in home runs (10), doubles (43), runs (79) and hits (161).
He had asked for $5.2 million and been offered $4.3 million in initial arbitration filings. He earned $2.35 million last year.
The deal leaves outfielder Mark Trumbo as Arizona's lone arbitration-eligible player. General manager Kevin Towers said there is a substantial difference between the two sides in the Trumbo talks.