Season the chicken breasts with salt and pepper. Heat olive oil in a large skillet over medium-high heat. Sear the chicken for 5–7 minutes per side until golden brown and fully cooked. Remove from the skillet and set aside.
In the same skillet, sauté the minced garlic for about 30 seconds until fragrant.
Pour in the heavy cream and chicken broth, stirring to combine. Bring the mixture to a simmer.
Gradually whisk in the Asiago cheese and Italian seasoning, stirring continuously until the sauce is smooth and creamy.
Return the cooked chicken to the skillet, coating it with the sauce. Simmer for 5 more minutes to allow the flavors to blend.
Garnish with chopped parsley and serve warm.