I purchased my iPhone in Hong Kong and recently have shattered the screen

The warranty and AppleCare+ are only valid in the country where the device was originally sold.

If Apple Canada told you they can't service it, then you will have to take it back to Hong Kong or send it to someone you know there and have them take it in for service.

As the others have said, AppleCare+ is valid in the country of purchase only. You'll need to purchase a new screen from Apple Canada at the cost they charge. If you aren't living in Hong Kong, you might want to cancel your AppleCare+ plan as it's pretty useless to you in Canada. Or, if you need to take advantage of the plan options, you'll need to send the phone to a friend in Hong Kong (Apple doesn't accept international shipment) or travel with the phone back to Hong Kong for service.

This link for Apple Canada and as you can see, the cost to replace the screen is $259 for iPhone Xr --> iPhone Screen Repair & Replacement - Official Apple Support

The AppleCare+ generally won't be valid except in the country where it was purchased.

As long as they can do the screen repair, it shouldn't be a problem getting that done if you're willing to pay for it. I've certainly heard of people taking an iPhone purchased in (let's say) the Philippines getting a screen replacement service done at an Apple Store in Singapore.

abbybkr ~ Perhaps consider this for next time:

RhinoShield Impact Protection Screen Protector - iPhone XR

RhinoShield Screen Protector Hammer Test video

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Sorry to say but you can't repair apple products from where it's not sold. but I hope you can get the service as long as you ready to pay for the cost