Have they mentioned a skill shortage within those Canadian offices that you could fill?
If they have no need for you there, then it would be a real struggle for you to get a transfer because of the cost and admin involved.
My current employer of over 5 years has offices is most cities in Canada, but I opted to go via express entry because one, I don't want to tell them yet I want to move, and two, a work visa can end and you're sent back to your country of origin.