The deal has been completed after the club obtained a work permit for the 23-year-old, who joins from Iranian side Abu Moslem.
Allardyce said: "From what we have seen in training over the last three or four weeks, he will have a contribution for us in the Premiership this season.
"He is all geared up to show what he can do in England."
Meanwhile, Bolton are reportedly in talks for Paris Saint Germain midfielder Vikash Dhorasoo, while a deal for Zenit full back Pavel Mares has collapsed.