Pat fillets dry and season with salt and pepper.
Heat butter in a skillet over medium-high heat. Sear salmon until golden and just cooked through, 3 to 4 minutes per side. Remove fillets and set aside.
In the same skillet, sauté garlic, oregano, and thyme for 30 seconds.
Add broth, cream, Parmesan, sun-dried tomatoes, and red pepper flakes. Simmer until slightly thickened, 2 to 3 minutes. Season to taste with salt and black pepper.
Return salmon to the skillet and spoon sauce over the top to coat.
Plate and garnish with parsley and a squeeze of fresh lemon.