01 - Set your outdoor grill to medium-high heat, or place a grill pan over medium-high on the stovetop. Allow it to get fully hot before adding anything.
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 reaches 165°F and the juices run clear.
04 - During the last 4 to 5 minutes of the chicken's cook time, lay the asparagus directly on the grill. Turn occasionally until crisp-tender with visible char marks.
05 - While the chicken and asparagus grill, combine the chopped Calabrian chili peppers, olive oil, minced garlic, 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.
07 - Arrange the sliced chicken and grilled asparagus on plates. Drizzle generously with the Calabrian chili sauce and finish with lemon zest and additional chopped parsley.