In a large skillet, heat the olive oil over medium-high heat. Season the chicken breasts with salt and pepper on both sides. Add the chicken to the skillet and cook for about 6-7 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the minced garlic and sauté for about 1 minute, until fragrant. Be careful not to burn the garlic.
Pour in the chicken broth and bring to a simmer, scraping the bottom of the skillet to release any browned bits. Allow it to reduce slightly for about 2-3 minutes.
Lower the heat and stir in the heavy cream and Italian seasoning. Cook for another 2-3 minutes until the sauce thickens slightly.
Add the grated Parmesan cheese to the sauce, stirring until melted and smooth. Return the chicken to the skillet, coating it in the creamy sauce. Cook for an additional 2 minutes to heat through.
Serve the creamy garlic chicken garnished with chopped parsley.