Preheat the oven to 180C/350F/Gas 4.
In a bowl, mix together the chopped orange, eggs and icing sugar until well combined, then mix in the noodles.
Melt the butter in a small ovenproof frying pan and pour in the noodle mixture. Fry for 4-5 minutes, or until golden-brown on the bottom, then transfer to the oven to cook through for 6-8 minutes, or until golden-brown all over and set.
Slide the noodle cake out onto a plate and decorate with the orange slices. Dust with icing sugar and top with a sprig of fresh mint. Serve.