In a medium sized skillet heat 1 tablespoon olive oil over medium low heat. Season 4 (6-ounce) salmon fillets with salt and pepper and add to the skillet skin sized down.
Cook for about 5 minutes and gently flip the salmon to the other side and cook for another 5 minutes until the salmon is brown and the center is slightly pink. Remove the salmon from the skillet and set aside on a plate.
Add 3 cloves minced garlic to the pan and cook until tender. Add 1 cup heavy cream, ½ cup chicken broth, ½ teaspoon salt, 1 tablespoon chopped fresh dill, and the juice of one lemon.
In a small bowl whisk together 1 teaspoon cornstarch and 1 tablespoon water. Whisk the cornstarch mixture into the sauce and simmer for 3-4 minutes or until sauce has thickened.
Add the salmon back to the skillet on top of the sauce and heat through. Garnish with additional fresh dill if desired and serve!