Not sure why you think this will be a problem. The naloxone won't block the nose and will be absorbed through the nasal membranes. If the patient needs extra oxygen or artifical ventilation that's still feasible.

Why would they have to be breathing? The drug moves from the nasal mucosa to the bloodstream. As long as you get it in their nose it’ll be absorbed.

Now I could see it not working as well if they aren’t breathing since it will likely be distributed over a smaller surface area.

Doesn't nasal spray directly get into blood through the nose blood vessels? Think about sniffing cocaine.