Why can you sanitize paper money notes with a Clothes Iron? I have some Canadian and British bank notes. The first issue is that I don't know if they're paper or plastic.
Second, I don't understand this answer. Why's it safe  to iron paper bills? Won't the heat or pressure ruin the paper bill?

You can iron paper bills, like the American ones, on rather high heat. Just the same iron you use for your clothing, at the hottest setting, but no steam. It will kill all viruses.
Plastic bills can be hand washed, with the same soap you would use on your hand, you can dry them the same way you dry your hands, with a clean cloth or even the hot air dryer you use for your hands. Or you can let them air dry.
These bills can withstand some heat but I have heard not enough to iron them clean.
In short: This is possible because «paper money» actually is not referring to the paper like paper from the office supply for (your) desktop printer or xerox, but to cotton paper.
Because of the cotton, if folded and forgotten in a pocket of your jeans close to $\pu{40 ^\circ{}C}$, they may physically survive a pass in the washing machine with a mild non-bleaching detergent (including the spinning).  They obviously suffer from the dye if e.g., the jeans blead, or mechanically if you try to unfold them after if passing a dryer.  Of course different to the ones made of polymers as (but not limited to) in Australia.