Follow these simple steps to prepare this incredible dish with ease:

1. Preheat Oven: Set your oven to 400°F (200°C) to begin heating.
2. Prepare Sheet Pan: Line a large baking sheet with parchment paper or lightly grease it with cooking spray.
3. Season Chicken: In a bowl, mix olive oil, tarragon, minced garlic, lemon zest, salt, and pepper. Coat the chicken breasts in this mixture.
4. Arrange Chicken: Place the seasoned chicken breasts on one side of the prepared baking sheet.
5. Prepare Asparagus: Toss the asparagus in the remaining olive oil, season with salt and pepper, and arrange it on the other side of the baking sheet.
6. Bake: Place the baking sheet in the preheated oven. Roast for 25-30 minutes or until the chicken reaches an internal temperature of 165°F (74°C) and the asparagus is tender.
7. Broil for Crispness: For an extra touch, broil for an additional 2-3 minutes at the end if you desire crispier chicken and asparagus.
8. Rest the Chicken: After removing the pan from the oven, let the chicken rest for about 5 minutes before slicing.
9. Serve: Plate the chicken and asparagus, garnishing with extra tarragon or lemon wedges if desired.

By following these steps, you will craft an enticing dish that delights the palate and impresses those at your table.