Pound the chicken breasts to an even 1.5 cm thickness, then season both sides with salt and pepper. Set aside.
Whisk together honey, Dijon mustard, apple cider vinegar, and minced garlic in a small bowl until smooth and well combined. Set the glaze aside.
Heat a large skillet over medium-high heat until shimmering. Add a tablespoon of olive oil and swirl to coat the pan evenly.
Place the chicken breasts in the hot skillet. Sear for about 4-5 minutes on each side until golden brown and cooked through. Use a meat thermometer to ensure the internal temperature reaches 74°C (165°F).
Reduce the heat to medium. Pour the honey mustard glaze over the chicken. Cook for another 2-3 minutes, spooning the sauce over the chicken as it thickens and becomes glossy.
Check that the chicken has reached the correct internal temperature, then transfer it to a plate. Let it rest for 3-5 minutes to retain juices.
Spoon any remaining sauce from the skillet over the rested chicken, allowing it to cling and shine. Slice if desired, and serve immediately with your favorite sides.