Preheat the oven to 400°F (200°C).
Pat the chicken breasts dry with paper towels and season both sides with salt and black pepper.
In a medium mixing bowl, whisk together the Dijon mustard, honey, olive oil, minced garlic, and dried rosemary until emulsified.
Arrange the chicken breasts in a single layer inside a 9x13 inch baking dish.
Pour the honey mustard glaze over the chicken, ensuring each piece is thoroughly coated.
Bake for 20 to 25 minutes, or until the internal temperature of the thickest part of the chicken reaches 165°F (74°C).
Remove from the oven and allow the meat to rest for 5 minutes to retain juices before slicing or serving.