01 - Set your outdoor grill to medium-high heat, or place a grill pan over medium-high on the stovetop. Allow it to reach full temperature before cooking.
02 - Pat the chicken breasts dry with paper towels. Drizzle both the chicken and asparagus with olive oil, then season evenly with kosher salt and freshly ground black pepper on all sides.
03 - Place the chicken breasts on the grill and cook for 6 to 7 minutes per side until the internal temperature registers 165°F. Look for clear juices and well-defined grill marks.
04 - Add the asparagus to the grill during the last 4 to 5 minutes of the chicken's cook time. Turn occasionally until the spears are crisp-tender and lightly charred.
05 - While the chicken grills, combine the finely chopped Calabrian chili peppers with olive oil, minced garlic, fresh lemon juice, honey, and chopped parsley in a small mixing bowl. Season with salt and pepper to taste and stir until well blended.
06 - Transfer the grilled chicken to a cutting board and let it rest for 2 to 3 minutes so the juices redistribute. Slice diagonally if desired for presentation.
07 - Arrange the sliced chicken and grilled asparagus on serving plates. Drizzle generously with the Calabrian chili sauce. Finish with fresh lemon zest and a sprinkle of chopped parsley.