Pat the chicken dry with paper towels. Season both sides with salt and pepper.
Heat olive oil in a large skillet over medium heat.
Place the chicken in the pan and cook for 5–6 minutes on one side without moving it.
Flip the chicken and cook another 5 minutes.
In a small bowl, stir together honey, Dijon mustard, yellow mustard, garlic, and chicken broth.
Pour the sauce into the skillet around the chicken.
Reduce heat to low and simmer for 5–7 minutes, spooning sauce over the chicken until it reaches 165°F inside.