Preheat your oven to 375° Fahrenheit.
Cover the chicken breasts with a plastic wrap and pound them with a meat mallet to an even thickness of about ¼”. Season both sides with salt and pepper.
Combine the red peppers, artichoke hearts, ricotta, Parmesan cheese, garlic, dried oregano, and basil in a medium bowl and mix until well combined.
Spread the filling in the center and roll each chicken breast tightly. Secure with kitchen twine.
Heat the olive oil in a large ovenproof skillet over medium-high heat. Sear the chicken on all sides until golden brown. About 2-3 minutes per side.
Add the chicken broth and white wine to the skillet and spoon over the chicken. Transfer the skillet to the oven and bake for 20-25 minutes.
Melt the butter over medium heat in a small saucepan and add the diced shallot. Cook until softened, about 2-3 minutes.
Pour the chicken broth, heavy cream, into the saucepan and add the mustard. Simmer for 5-7 minutes until the sauce has thickened slightly. Season to taste with salt and pepper.
Remove the twine from the chicken roulades and slice them into medallions.
Arrange the chicken slices on a serving platter and drizzle with the cream sauce and garnish with chopped fresh parsley.