Heat a skillet over medium heat. Add mushrooms, season with salt and pepper, and sauté until lightly browned. Remove and set aside.
Cook shallots and garlic in a medium pot until fragrant, about 1–2 minutes. Add rice and toast for 1–2 minutes.
Gradually stir in warm chicken stock, one ladle at a time, letting the rice absorb the liquid before adding more, until creamy and tender, about 18–20 minutes.
Stir in butter, parsley, and Parmesan. Fold in the sautéed mushrooms and season to taste.
Mix brown sugar and soy sauce. Coat salmon fillets and let sit 5–10 minutes.
Heat a skillet over medium heat. Place salmon skin-side down and sear until caramelized and cooked through.
Serve the risotto topped with salmon and a sprinkle of Parmesan.