Whisk flour, milk and egg together in a mixing bowl until it becomes a smooth batter.
Add grated apple and carrot, mix to combine.
Heat some butter in a frying pan, medium heat, and add the batter to the pan using a large spoon.
Cook until golden brown underneath and the top is just starting to set.
Flip pancakes and allow other side to brown. Once both sides are golden brown, remove from pan.
Allow to cool for a few minutes and serve.