As soon as the tuiles are cooked, you need to remove the baking sheet from the oven as quickly as possible, because hot the tuiles are still soft and easy to handle. But as soon as they cool, they harden and become brittle. So as quickly as possible, remove tuiles from paper using a palette-knife, and place them on a rack to cool.
If you wait too long, they will cool on the paper and stick to it firmly, and then will inevitably break when you try to separate them, which would be a pity...