Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Wash and dice the russet potato into 1/2-inch cubes, and mince the garlic cloves.
In a large bowl, toss the potato cubes with half of the olive oil, half of the garlic, rosemary, thyme, salt, and pepper.
Spread the potatoes in a single layer on the baking sheet and roast for 15 minutes.
While potatoes roast, cut the chicken breast into bite-sized pieces and toss with the remaining olive oil, garlic, and a pinch of extra herbs.
Move the potatoes to one side of the pan and add the chicken to the other side; roast for another 15-18 minutes until chicken is cooked through and potatoes are crisp.
While the pan finishes roasting, steam the broccoli florets in a steamer basket over boiling water for 5 minutes until tender-bright green.
Plate the roasted potatoes and chicken alongside the steamed broccoli and serve immediately.