You can write to him c/o the Montreal Canadiens, whose address is in the database. As for whether or not you'd get it back by Christmas, it's hard to know. There are never any guarantees when it comes to autograph collecting. The best way to ensure a Carey Price autograph is to find a reputable dealer and buy one. As a future reference, you can always send to an active player/coach/executive c/o their respective team.

Looked in database nothing for him. If I were to write to him would it be here in time for Christmas as it's a Christmas gift for someone

Address
Thanks