Peel a few curls of Parmesan cheese with a peeler. Break the rest of the Parmesan roughly into pieces. Peel the garlic. Wash parsley and dab dry. Put the pistachios, parsley, garlic, pieces of parmesan and oil in a mixer and puree.
Season with salt and pepper. Cook the pasta in plenty of boiling salted water for 6-8 minutes, drain and drain. Arrange noodles on plates with the pistachio-parsley pesto. Serve garnished with parsley.