Sizemore, who turned 29 on Jan. 4, has been limited to six at-bats over the past two seasons because of an injured left knee that twice required surgery.
He originally got hurt on Feb. 25, 2012, during a fielding drill in Oakland's first full-squad spring training workout and had surgery that March 21 to repair a torn anterior cruciate ligament.
Sizemore returned to hit .216 with six RBIs during 21 spring training games last year and was 0 for 6 last season when he got hurt again April 9 while chasing a bloop single by the Los Angeles Angels' Mike Trout.
One week later, Dr. James Andrews reconstructed the ACL using a patellar tendon graft and repaired a torn meniscus.
Also Wednesday, New York announced deals with right-handers Bruce Billings, Robert Coello, Brian Gordon and Chris Leroux; infielders Russ Canzler, Yangervis Solarte and Zelous Wheeler; and outfielder Antoan Richardson.