Preheat the oven to 400 degrees. In a small mixing bowl, combine all of the ingredients for the marinade. Whisk to combine and set aside while you prep the veggies.
Chop the carrots and broccoli, and add them to the baking sheet, along with the snap peas. Prep the chicken thighs by patting them dry with a paper towel before also adding them to the baking sheet.
Pour the marinade all over the chicken and veggies, then toss everything together, until it is all completely coated.
Arrange all of the veggies in an even layer, this will ensure they cook evenly. Then move some of the veggies around to make holes for the chicken.
Bake for 40 minutes, until the chicken is cooked through and the vegetables are golden brown. Serve over rice if you want!