Preheat your oven to 275 degrees F. Brush a half sheet pan with olive oil.
Season the salmon with salt and pepper. Place the salmon skin-side down on the prepared half sheet pan and place in the oven. Cook for 15 minutes for medium rare (110 degrees F). If you prefer your salmon a little more cooked, continue to cook for another 5 to 10 minutes.
In the meantime, make the salsa verde. In a mixing bowl, combine the remaining ingredients with 1/2 cup of olive oil. Season with salt and pepper and let stand at room temperature for at least 15 minutes to let the flavors meld, if time allows.