Chavez hit .276 with 12 doubles and 23 RBIs in 80 games with the Mariners last season.
Once a Gold Glove center fielder with Seattle, Gutierrez was limited to 41 games in 2013, when he was slowed by hamstring injuries. Gutierrez appeared in only 173 of 486 games from 2011-13 for Seattle, making six trips to the disabled list for various injuries and illnesses.
Seattle announced the agreements Monday.
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