For the chanterelle with tagliatelle, sauté the chanterelles in olive oil until they let some water. Deglaze with the dissolved cornstarch and simmer for 2-3 minutes.
Pour in cream and boil down to a creamy sauce. Stir in the Parmesan cheese.
Cook the tagliatelle in salted water according to package instructions, arrange on plates and pour over the mushrooms. Sprinkle the chanterelle with tagliatelle with parsley.