Heat a large, oven-proof skillet over medium-high heat and add the olive oil.
In a large bowl, combine the chicken thighs, dijon mustard, lemon juice, kosher salt, pepper, and dried thyme and mix to evenly coat the chicken.
Add the chicken to the hot skillet and cook for 6-8 minutes until well-browned. Flip the chicken over, turn off heat, and add the carrots on and around the chicken in the pan.
Transfer the pan to the oven and roast for 30 minutes, or until chicken is cooked through (when pierced with fork, juices run clear and not reddish-pink).