Place bread crumbs in a shallow dish. Pile parsley, garlic, lemon zest, and a little coarse salt on the cutting board. Finely chop the lemon-garlic mixture, then combine with plain bread crumbs.
Brush the top of each fillet with olive oil and dip in to the bread crumb herb mixture. Brush a little bit of olive oil in the bottom of a baking pan then place fillet in the pan, crust side up. Roast fillets in oven until firm to the touch, about 12 to 15 minutes.