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 with olive oil, kosher salt, and freshly ground black pepper, ensuring even coverage.
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 cooking time. Turn occasionally until crisp-tender with distinct grill marks.
05 - While the chicken and asparagus cook, combine the chopped Calabrian chili peppers with 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 - Remove the chicken from the grill and let it rest for 2 to 3 minutes to allow the juices to redistribute. Slice diagonally if desired.
07 - Arrange the sliced chicken and grilled asparagus on serving plates. Drizzle generously with the Calabrian chili sauce and finish with lemon zest and additional chopped parsley.