Step 1

Blot chicken thighs with paper towels and sprinkle with salt and pepper.

Step 2

Melt butter with olive oil in a 12-inch skillet over medium heat. Place chicken thighs in the hot oil and cook until browned, about 4 minutes per side. Remove chicken from the skillet and keep warm.

Step 3

Add carrots, onion, and minced garlic to the same skillet, stirring to coat with pan drippings. Season with salt and pepper and cook for about 2 minutes. Nestle browned chicken thighs into the vegetables, pour wine and 2 tablespoons water over everything, and cook for an additional 2 minutes.

Step 4

Cover, reduce heat to low, and simmer until carrots are fork-tender and chicken juices run clear, about 20 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C). Remove chicken and vegetables from the skillet with a slotted spoon.

Step 5

Combine cornstarch and 1 tablespoon water in a small bowl, stirring to dissolve any lumps. Add slurry to the drippings in the skillet and bring to a boil, stirring constantly; cook until thickened, 3 to 5 minutes.

Step 6

Pour sauce over chicken pieces and vegetables and sprinkle with fresh parsley to serve.