Preheat your oven to 425°F (220°C). Line a sheet pan with parchment or a light coating of oil so the potatoes don’t stick.
Pat the chicken dry with paper towels. Season lightly with salt and pepper. Toss the potatoes with 1 tablespoon of olive oil, a pinch of salt, and a crack of pepper on a separate sheet or in a bowl.
Spread the potatoes on the sheet pan in a single layer. Nestle the chicken among the potatoes, skin-side up.
In a small bowl, whisk together honey, soy sauce, garlic, rice vinegar, paprika, thyme (if using), and the remaining tablespoon of olive oil.
Pour the honey-garlic mixture over the chicken and potatoes, tossing gently to coat. Don’t drown the potatoes; you want a nice glaze on the chicken and a bit of coating on the potatoes.
Roast for 25–35 minutes, or until the potatoes are tender and the chicken reads 165°F (74°C) on an instant-read thermometer. If the glaze isn’t glossy, broil for 1–2 minutes at the end, watching closely.
Remove from the oven and let rest for 5 minutes. Spoon any extra glaze from the pan over the chicken and potatoes, then serve warm.