Chavez, 30, was one of eight A’s eligible for arbitration this winter, according to CSNBayArea.com.
He was 2-4 with a 3.92 ERA and 1.221 WHIP in 35 relief appearances and 57.1 innings for Oakland last season, notching 55 strikeouts.
Chavez was originally drafted in the 42nd round in 2002 by the Rangers out of Riverside Community College in southern California. He was traded to the Pirates in 2006 while still in the minor leagues and made his big league debut for Pittsburgh in 2008.
He was traded twice after the 2009 season, going to Tampa Bay in the deal that sent Akinori Iwamura to the Pirates and later going to the Braves in the trade that sent closer Rafael Soriano to the Rays.
The A’s acquired Chavez when they purchased his contract from the Blue Jays in August 2012.
He has a 5.48 ERA and 1.466 WHIP in 191 career appearances and 234.2 innings, with 201 strikeouts. Chavez was on the A’s postseason roster last October against the Tigers, but did not pitch in the American League Division Series.
Other arbitration eligible players for the A’s include pitchers Luke Gregerson and Jim Johnson, catcher John Jason, infielders Jed Lowrie and Brandon Moss and outfielders Craig Gentry and Josh Reddick.