Tucker, is this what you wanted to know;
Firearms that are classified as either restricted or non-restricted may be exported to the US without a Canadian Export Permit. However, the Canadian exporter must be in possession of an approved US import permit (currently this is a Bureau of Alcohol, Tobacco, Firearms and Explosives Form 6 (BATF Form 6)). To export prohibited firearms the exporter must apply for an export permit from International Trade Canada (ITCan). Blank applications are available by calling (613) 996-2387 or by faxing your request to (613) 996-9933. Completed applications must be accompanied by a US Import Permit (BATF Form 6) which specifically identifies the firearm to be exported. Canadian exporters are required to report the permanent export of firearms to the Canada Firearms Centre. It is recommended that copies of the Export Permit, foreign import authorisation and any waybill issued by the carrier be provided to the Canada Firearms Centre to support the exporters claim of permanent export. A photocopy of the foreign import authorisation should be included with the package when shipped.