The Boston Red Sox acquired first handed pitcher Jason Rice prior to Wednesday night's waiver trading deadline.
Jackson hit .249 with four home runs and 38 RBI in 102 games with Oakland this season. He started 43 games at first base, 24 times in right field, 14 in left, and twice at third base.
The 29-year-old Jackson has hit .272 with 51 homers, 290 RBI and 250 walks in 646 career major league games with the Diamondbacks (2005-10) and Athletics (2010-11).
To make room on the 40-man roster, the Red Sox transferred right-handed pitcher Bobby Jenks to the 60-day disabled list. He has been on the DL since July 16 (retroactive to July 8) with left back tightness.
The 25-year-old Rice has appeared in 44 games with Triple-A Pawtucket this season, including one start, going 4-5 with four saves and a 3.69 ERA.