I just called Icelandair (after going onto their website) and they tell me they cannot assign seats because I booked a flight as a codeshare. This is pretty annoying as my wife is disabled and we don't want to end up somewhere in the middle of the plane far away from the restrooms.
Is this really their policy? Strongly considering cancelling and rebooking in a different way. I would have paid for their 'business' class if it wasn't way more than double the Y price.
Just found a thread on this
Icelandair seat map not available