The 30-year-old Gorzelanny went 4-2 with a 2.88 ERA and one save in 45 games with Washington last season, a stint that included one start. He posted a 1.33 ERA in 27 innings pitched out of the bullpen following the All-Star break.
Gorzelanny worked at least two innings in 19 of his 44 relief appearances last season, his first as a full-time reliever.
Overall, Gorzelanny is 44-45 with a 4.41 ERA and two saves in 193 games (111 starts) during eight seasons with Pittsburgh, the Cubs and Washington.
Terms were not released by the team.