Season salmon fillets with salt and pepper on both sides.
Heat olive oil in a large skillet over medium-high heat.
Cook salmon fillets for 4-5 minutes on each side until golden and cooked through. Transfer to a plate.
In the same skillet, melt butter and sauté garlic until fragrant.
Pour in chicken broth, cream, and lemon juice. Bring to a simmer.
Stir in capers and Parmesan cheese until sauce thickens slightly.
Return salmon to the skillet, spoon sauce over the fillets, and cook for 2 minutes more.
Garnish with fresh parsley and serve warm.