Season the chicken cutlets with salt and pepper. Dredge in the flour and set to the side. Allow the chicken to sit for 5-10 minutes to give the flour time to adhere to the chicken.
Add the olive oil and butter to a large skillet. You will need equal amounts of both, about 2 to 3 tablespoons of each, depending on the size of your skillet. You will want the oil/butter mixture to cover the bottom. Working in batches, brown the chicken in the hot oil on each side. Drain on a paper towel. Season with salt and pepper immediately and set aside.
This next part is personal preference. You can discard the oil, wipe the pan, and saut¨¦ the garlic in more butter and oil OR you can saut¨¦ the minced garlic in the oil used to sear the chicken. By the time I brown all the chicken, the bits in my oil are pretty black and the oil has a black tinge to it too. I don¡¯t like to use the oil after it has blackened, this is personal preference.
Saut¨¦ the garlic for 30 seconds to 1 minute on medium heat, until fragrant. Stir in the chicken broth and heavy cream, and scrape up any brown bits in the pan. Mix in the Parmesan cheese. Continue to simmer on medium to medium low heat for 3-5 minutes, stirring often.
Whisk in the spices. Season to taste with salt and pepper. Mix in the sun dried tomatoes. Place the chicken cutlets in the pan with the creamy sauce and continue to simmer on low heat until the sauce thickens, turning the chicken cutlets halfway through.
Garnish with minced fresh basil. I love to serve this over noodles or rice!