Good question, you should phone RCMP Firearms, 1-800-731-4000 and ask what the policy is.

Foreigners, including Americans, are allowed to possess Canadian Possession and Acquisition Licences, IIRC, and the above people can assist with this, should you be interested.

Some US hunters actually just leave a rifle in Canada at a friend's or relative's place or with a trusted GO.....this is the best option, IMO.

Obama and his ilk are just vile, but, we have plenty of the same kind here in The Great White North.