Preheat oven to 350 degrees

Add olive oil to an oven-safe pan over meduim heat. stir in the garlic, lemon juice, and tarragon

Cook the chicken breasts in the tarragon mixture untill evenly browned, 3 to 5 minutes per side, then add the olives into the pan

Place pan into the oven and bake untill the chicken is thoroughly cooked about 20 minutes