Heat some olive oil in a pan, fry the garlic very briefly, then add the anchovy fillets and tomatoes. After a short time, add the broccoli and, at the very end, season with grated hot peppers.
In the meantime, the pasta was cooked al dente. Briefly toss the pasta in the hot pan with the sauce.
Serve sprinkled with parsley and olives on preheated plates.