Preheat oven to 400 degrees Fahrenheit. Toss together potatoes, shallots, garlic, oregano, smoked paprika, salt, pepper, olive oil, and lemon juice on large baking sheet; roast for 25 minutes while you prepare the chicken.
Drizzle chicken with olive oil and lemon juice and season with salt and pepper.
Transfer chicken and lemon wedges to baking sheet; roast for an additional 30 to 40 minutes, until potatoes and chicken are cooked throughout.