Cook asparagus in shallow, simmering salted water 5 minutes. Drain, arrange on a platter and drizzle with extra-virgin olive oil.
While asparagus cooks, make a pile of garlic, lemon zest, parsley and anchovies. Finely chop all of the ingredients together to form gremolata.
Sprinkle the gremolata paste liberally over the hot asparagus with extra-virgin olive oil. Serve hot or room temperature.