Preheat your oven to 425°F for roasting the broccoli.
Slice chicken breast into bite-sized pieces. Pat dry and lightly season with salt and pepper.
In a bowl, combine the cornstarch, a splash of water, and a pinch of salt to create a light batter for the chicken.
Toss the chicken pieces in the batter until evenly coated.
Heat sesame oil in a non-stick skillet over medium-high heat. Sauté the garlic and ginger for 30 seconds until fragrant.
Add the battered chicken pieces to the skillet and cook until they turn golden and crispy on all sides, about 5-6 minutes.
Meanwhile, toss broccoli florets with olive oil, salt, and pepper. Spread on a baking sheet and roast in the oven for about 10-12 minutes until tender and slightly charred.
In a small saucepan, combine the orange juice, the sautéed garlic and ginger, and a little extra water if needed. Simmer for 2-3 minutes to slightly thicken into an orange glaze.
Once the chicken is crispy, pour the orange sauce over it in the skillet and toss to coat evenly.
Plate the crispy orange chicken alongside a serving of roasted broccoli and serve warm.