Prepare the chicken: Slice each chicken breast horizontally to create thinner portions.
Seasoning blend: In a small bowl, combine the arrowroot powder (or flour), lemon pepper seasoning, and salt until evenly mixed.
Coat the chicken: Rub the seasoning mixture thoroughly over both sides of the chicken, pressing gently to adhere.
Cook the chicken: Warm the olive oil in a large skillet set over medium-high heat. Place the chicken in the pan and sear for 3 to 4 minutes on each side, or until an internal temperature of 160–165°F is reached. Transfer to a plate.
Prepare the sauce: Melt the butter in the same pan, then sauté the garlic for about 30 seconds. Stir in the chicken broth and lemon juice, allowing the sauce to simmer briefly until slightly reduced.
Combine and finish: Return the chicken to the skillet, spooning the sauce generously over the top. Sprinkle with lemon zest and garnish with parsley and lemon slices, if desired.