01 - Preheat your grill to medium-high heat, or set a grill pan over medium-high on the stovetop.
02 - Pat the chicken breasts dry with paper towels. Rub both the chicken and the trimmed asparagus evenly with olive oil, kosher salt, and freshly ground black pepper.
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 - Add the asparagus to the grill during the last 4 to 5 minutes of the chicken's cook time. Turn occasionally until crisp-tender with distinct grill marks.
05 - While the chicken and asparagus cook, combine the chopped Calabrian chili peppers with oil, olive oil, minced garlic, fresh lemon juice, honey, and chopped parsley in a small 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. Slice diagonally if desired.
07 - Arrange the sliced chicken and grilled asparagus on plates. Drizzle generously with the Calabrian chili sauce. Finish with lemon zest and a sprinkle of fresh parsley.