Start the cream sauce. Simmer chicken broth and white wine until reduced by about one-third. Lower heat and add lemon juice and cream. Simmer gently, then whisk in butter. Keep warm on low heat.
1 cup chicken broth, ¼ cup white wine, Juice from one lemon, 2 cups heavy cream, 2 Tbsp butter
Cook the chicken. Season and lightly dredge chicken in flour, salt, and pepper. Cook in a skillet with olive oil over medium-high heat until cooked through, about 4 minutes per side. Transfer to an oven-safe plate and keep warm.
2 Tbsp olive oil, ¼ cup all-purpose flour, ¾ tsp sea salt, ¼ tsp black pepper, 3-4 chicken breasts
Caramelize the tomatoes. In the same pan, add remaining oil and tomatoes in a single layer. Cook until softened and slightly caramelized, about 5 minutes. Add garlic and cook another minute or two.
salt and pepper, 3-4 tomatoes, 2-3 garlic cloves
Combine. Slice chicken and return it to the skillet with the tomatoes. Stir Parmesan into the cream sauce, then pour over chicken. Gently toss to combine.
½ cup grated Parmesan cheese
The dish is finished at this point but for a thicker sauce (that resembles the main photos in the recipe post) see the next step.
Optional step HIGHLY RECOMMENDED-For a thicker sauce and deeper flavor, cover the skillet and place it in a 250°F oven for 20–40 minutes. This extra time allows the sauce to reduce slightly and everything to meld together. The sauce may separate a bit as it sits—just give it a quick stir before serving. Finish with fresh basil and, if you like, a sprinkle of toasted pine nuts. Finish and serve. Top with fresh basil and extra Parmesan. Add toasted pine nuts, if desired. Serve immediately, or keep warm in a low oven until ready.
3 Tbsp fresh basil, Parmesan cheese, 2 Tbsp toasted pine nuts