Preheat the oven to 190°C (375°F).
Whisk together 1/4 cup buffalo sauce, 1/4 cup brown sugar, 1 tablespoon soy sauce, 1 tablespoon olive oil, 1 teaspoon minced ginger, 1 teaspoon minced garlic, 1 teaspoon black pepper, and 1 teaspoon paprika in a bowl until smooth.
Pat the 4 salmon fillets dry and season both sides with 1/2 teaspoon salt and 1/2 teaspoon pepper.
Heat 2 tablespoons oil in an oven-safe skillet over medium heat. Sear the salmon, skin-side up first if applicable, for about 3 minutes per side until lightly browned.
Pour the prepared firecracker sauce over the seared salmon, spooning some over the tops to coat evenly.
Transfer the skillet to the preheated oven and bake for about 9 minutes, or until the sauce thickens and the salmon is cooked through to your liking.
Remove from the oven and serve the firecracker salmon immediately.