Toast pine nuts in a dry skillet over medium-low heat, shaking often, until golden and fragrant (~3 minutes). Transfer to a cutting board, let cool, and roughly chop.
Preheat broiler. Season flesh side of snapper with salt, pepper, and coriander.
Drizzle 2 tablespoon olive oil onto a baking sheet. Set snapper skin side up on the sheet.
Drizzle another 2 tablespoon olive oil over the skin side, then season with more salt and pepper.
Broil for 8–10 minutes, until skin is blistered and crisp and fish is just cooked through. Let rest for 5 minutes.
In a small bowl, mix together cilantro, parsley, garlic, za’atar, red pepper flakes, and ½ cup olive oil. Season with salt and pepper to taste.
Stir in lemon juice and chopped pine nuts just before serving.
Plate the fish skin side up and spoon za’atar salsa verde over the top. Serve immediately.