Preheat your oven to 400°F and line a large rimmed baking sheet with parchment paper.
Wash the potato and dice it into small 1/2-inch cubes to ensure they get crispy.
Trim the woody ends off the asparagus spears and mince the garlic clove.
In a mixing bowl, toss the potato cubes with half of the olive oil, half of the rosemary, salt, and pepper.
Spread the potatoes in a single layer on the baking sheet and roast for 15 minutes.
While potatoes roast, rub the chicken breast with the remaining olive oil, minced garlic, paprika, and the rest of the rosemary.
Remove the baking sheet from the oven, slide the potatoes to one side, and place the chicken and asparagus on the other side.
Return the pan to the oven and roast for another 15-20 minutes, or until the chicken reaches an internal temperature of 165°F.
Let the chicken rest for 5 minutes before slicing and serving alongside the golden potatoes and asparagus.