Not that I frequent Dairy Queen. I’ve just seen a commercial for their new sandwich and they pronounced it ‘broo-shetta’. Now, Italian pronunciations vary by region, and ‘broo-shetta’ is pretty close to how it’s pronounced in some regional dialects; but not in Standard Italian. If they can’t pronounce it, I don’t know if I want to eat it.
[NB: I don’t actually speak Italian.]