In a bowl, combine sour cream, lemon juice, garlic powder, salt, and pepper. Add chicken breasts and toss to coat. Let marinate for at least 15 minutes.
Melt butter in a large skillet over medium-high heat. Remove chicken from marinade (reserve marinade) and sear for 3-4 minutes per side, until golden brown.
Add chicken broth to the skillet and scrape up any browned bits from the bottom. Bring to a simmer.
Reduce heat to low, return chicken to the skillet, and cover. Simmer for 15-20 minutes, or until chicken is cooked through.
In a small bowl, whisk together the reserved marinade and the remaining sour cream until smooth. Stir this mixture into the skillet. Stir in the shredded cheddar cheese until melted and the sauce is creamy.
Garnish with fresh parsley and serve hot.
Notes
This dish pairs well with rice, pasta, or mashed potatoes.