Discard the outer leaves from the chicory and radicchio. Cut the chicory into 5mm slices. Cut the radicchio in 4, remove the central core and slice the leaves into similar-sized ribbons.
Heat the oil in a large pan or wok and sauté the chicory over a high heat for 2 minutes, tossing and stirring all the time. Add the radicchio, season and continue to toss and stir for a further 3