In a blender or food processor, combine parsley with next 5 ingredients. Add to a saucepan with oil and heat over low heat for 2 – 3 minutes, but do not boil! Remove from heat. Allow to cool at room temperature for 2 – 3 hours. Place in a jar with a tight-fitting lid and shake vigorously before serving.

Season fish with salt and pepper. Lightly brown on both sides until just cooked. Drizzle oil over fish.