Season the chicken breasts generously with salt and pepper on both sides. Set aside while heating the olive oil.

Heat olive oil in a large skillet over medium heat. Add seasoned chicken breasts and cook for 7-8 minutes on each side until golden brown and cooked through. Transfer to a plate and cover to keep warm.

In the same skillet, add minced garlic and sauté for 1-2 minutes until fragrant. Pour in heavy cream and bring to a gentle simmer.

Stir in shredded Jack cheese, mixing until melted and smooth. Adjust the consistency with chicken broth or milk if necessary.

Return sautéed chicken to the skillet, coating well in the sauce. Heat through for 2-3 minutes until bubbly.