Francis was designated for assignment earlier in the week when Oakland activated reliever Eric O'Flaherty from the disabled list.
The Yankees currently have four starting pitchers on the disabled list. Ivan Nova, Michael Pineda and C.C. Sabathia are all on the 60-day DL, while Masahiro Tanaka was recently diagnosed with a partially torn elbow ligament and placed on the 15-day DL.
Francis, 33, was claimed off waivers from the Reds in May. He pitched in nine games for the A's, putting up a 6.08 ERA in 13 1/3 innings. He started one game for the Reds this season, going five innings and allowing three runs.
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- Evan Webeck