Jimenez went 9-17 with a 5.40 ERA in 31 starts last season. The right-hander has been a major disappointment since he was acquired in 2011 from Colorado for top pitching prospects Alex White and Drew Pomeranz.
Hafner had another injury-shortened season. He batted .228 with 12 homers and 34 RBI in 66 games.
Hernandez's season was delayed because of false identity charges in the Dominican Republic. Formerly known as Fausto Carmona, he went 0-3 with a 7.53 ERA in three starts. Hafner and Hernandez are both eligible for free agency.