Are Zambonis right-side drive in countries that use right-side drive cars?

I don't know the answer to your question specifically but I will say that many specialty vehicles have the seats in all sorts of unusual locations because of the task they perform and it is irrelevant where in the world they are as far as I know.
- Rubbish trucks are a good example of this, often being drivable from either side (at least where I am). That allows the driver to better see their colleagues and bins on the roadside while driving in the suburbs, but switch to the regular position for driving to and from a landfill site.
  
  Also USPS (mail trucks in US) have steering wheel on the opposite side as they frequently stop and leave the vehicle to deliver the mail.

If they did so, they’d also require Zamboni drivers to do their circuits in the opposite direction, counterclockwise instead of clockwise. They like to drive along the boards on the driver’s side so they can tuck up against the wall gently & see just how close they’re getting.

I drove Zambonis at work and of course, I always sat on the left.
Sitting there makes you able to control the left side when you operate and drive close to the walls.
It would work the opposite way but it make no sense to do it. There's a few ice machines producers in the world and I guess it would make the machinery price to raise in order to gain nothing.

I live in a right-side drive country.
The first time I ever heard of a Zamboni was when Ryan Renolds drove one over a guy in the first Deadpool movie.
- I thought I remembered him also driving one in Van Wilder, but I guess I was just remembering that an ice rink was featured at one point.
- Coo, loo, coo, coo, coo, coo, coo, coo! Take off to the Great White North Take off, it's a beauty way to go

huh. i live in a drivers seat on the left country and have only seen zambonis up close with the seat either on the right or in the center

I'm guessing that they'll be on whatever side Frank Zamboni decided it should be on.
I've only ever heard an Ice Resurfacer being referred to as a Zamboni in the USA. There's not a lot of ice to resurface in Australia and in the Netherlands we used to skate on the river or canal when conditions permitted, no machines there either.
Also: https://en.m.wikipedia.org/wiki/Ice_resurfacer
- The "drive under the influence" section LOL!!!