The Ivory Coast striker, who has been linked with a short-term move back to previous club Chelsea, had put in a request to the world governing body only for it to be rejected.
FIFA said in a statement: "We can confirm that the player Didier Drogba submitted a request for authorisation to be registered outside an open registration period for a club on a loan basis. "FIFA has informed him about the relevant regulations... that players may only be registered during one of the two annual registration periods fixed by the relevant association."
FIFA said the only exception was when a player's contract expired outside a transfer window.
Drogba had been hoping to get a temporary move to build fitness ahead of the African Nations Cup in January.