Coach Christian Gourcuff added the two to his selection on Monday after Mehdi Abeid and Essaid Belkalem both withdrew on Sunday through injury.
Abeid failed to recover from a broken toe suffered during the qualification campaign, while Belkalem was ruled out with a hamstring problem.
Kashi and Cadamuro were both part of Gourcuff's provisional squad and were named as reserves when he confirmed the final 23.
It is French-born Kashi's first call-up to the national side at the age of 26, while Cadamuro returns having not featured in a squad since Algeria's exit from the World Cup in June 2014.
Algeria face a tough task at the tournament in Equatorial Guinea having been drawn alongside South Africa, Senegal and Ghana in Group C.
They meet Tunisia in a friendly prior to the competition on Sunday, with South Africa first up on January 19.
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