Transfer vegetables to sheet pan and spread vegetables out into single, even layer, covering entire pan.
Place chicken thighs skin-side up on top of bed of vegetables. Arrange chicken thighs as needed to minimize overlap.
Place ½ cup unsalted butter in microwave-safe bowl and place bowl in microwave. Microwave butter in 30-second bursts, stirring well after each burst, until butter is melted but not boiling. Carefully remove bowl of melted butter from microwave.
Add 6 cloves garlic, ½ teaspoon garlic powder, and 1 pinch salt to melted butter. Stir ingredients together until fully incorporated.
Spoon approximately 50% of garlic butter sauce over chicken thighs, covering each chicken thigh evenly. If needed, depending on size of chicken thighs, use up to 25% more garlic butter sauce to cover chicken thighs. Reserve remaining garlic butter sauce.
Place sheet pan in preheated oven. Roast chicken thighs and vegetables 15 minutes. After 15 minutes, carefully rotate sheet pan, then roast chicken and vegetables 15 minutes more.
After 30 minutes total, insert internal meat thermometer into thickest area of chicken thighs to gauge doneness. If needed, return sheet pan to oven and roast chicken 5 minutes more, or until internal temperature reaches approximately 170° Fahrenheit. Be careful not to overcook vegetables.
Once target internal temperature range is reached, carefully remove sheet pan from oven. Tent aluminum foil loosely over sheet pan to cover and set aside. Let chicken and vegetables rest, covered, 5 minutes.