Season the salmon fillets with salt, black pepper, and Italian seasoning.
Heat olive oil and butter in a large skillet over medium-high heat.
Sear the salmon for 3-4 minutes per side until golden brown. Remove from the skillet and set aside.
Sauté garlic and red pepper flakes in the same skillet for 1 minute.
Deglaze the pan by adding chicken broth and lemon juice, scraping up any bits from the pan.
Stir in heavy cream, capers, and parmesan cheese. Simmer for 2-3 minutes until slightly thickened.
Return salmon to the skillet and spoon the creamy sauce over it. Let it cook for another 2-3 minutes.
Garnish with fresh parsley and lemon slices. Serve hot with pasta, rice, or roasted veggies!