Pressure treated wood could put out toxic fumes if any smoke gets back into your house while burning the pressure treated wood so it's not recommended to burn pressure treated wood in a wood stove.
However I do sometimes go against my own advice and burn little scraps of pressure treated wood in my wood stove in my house to get rid of them and so far I haven't gotten sick or anything.
So in my opinion if you burn pressure treated wood in your wood stove only burn it a little at a time and not a lot at a time.