Preheat the oven to 425 degrees fahrenheit.
Combine turmeric and olive oil. Rub on chicken and season with salt and pepper to taste. Marinate for a minimum of 2 hours.
In a medium saucepan, bring shallots, sugar, salt, and butter to a simmer over medium-low heat. Cook until browned, about 10 minutes. Add vinegar and remove from heat.
Lightly spray a glass baking dish with nonstick spray. Add chicken breasts and top with shallot mixture from saucepan. Cover with tin foil and bake for 15 minutes.
Remove from the oven at 15 minute mark, remove tin foil and add baking dish back in the oven uncovered for an additional 15 minutes.
To serve, spoon caramelized shallots over each chicken breast.
Bon Appetit!