Season the chicken breasts evenly with kosher salt, Italian seasoning, and black pepper. Heat olive oil in a large nonstick skillet over medium-high heat until shimmering. Place the chicken into the pan, ensuring an even layer, and cook undisturbed for 5 to 7 minutes until the underside is golden. Flip the chicken, add the butter to the pan, and gently swirl to coat. Continue cooking for 5 to 7 minutes, or until the internal temperature reaches 165°F.