Begin by seasoning the chicken breasts with salt and pepper on both sides.
Heat the olive oil in a large skillet over medium-high heat. Once hot, add the chicken breasts and cook for about 6-7 minutes on each side, or until they are cooked through and golden brown. Remove the chicken from the skillet and set aside.
In the same skillet, reduce the heat to medium and add the minced garlic. Sauté for about 1 minute, until fragrant, but be careful not to burn it.
Pour in the chicken broth and scrape any browned bits from the bottom of the skillet. Allow it to simmer for 2-3 minutes.
Stir in the heavy cream and Italian seasoning, and let the mixture simmer for another 2 minutes, stirring occasionally.
Gradually whisk in the grated Parmesan cheese until it melts and the sauce thickens, about 3-5 minutes. Add additional salt and pepper to taste.
Return the cooked chicken to the skillet, spooning the sauce over the top. Simmer for an additional 2 minutes to warm the chicken through.
Serve the creamy garlic chicken immediately, garnished with fresh parsley, over pasta or rice if desired.