4 skin-on, bone-in chicken thighs
4 skin-on, bone-in chicken drumsticks
1 tbsp olive oil
1 tbsp butter
1 cup peeled garlic cloves (about 40 cloves)
½ tsp dried thyme
1/4 cup heavy cream
1/4 cup chicken broth
2 tsp corn starch
2 tbsp cold water
salt, black pepper to taste
chopped fresh parsley, for decoration (optional)