Heat olive oil in a large, high-sided skillet over medium heat.
Add chicken and season with garlic powder, salt, and black pepper. Stir to combine and cook, stirring occasionally, until the chicken is browned on all sides, approximately 4-5 minutes.
Add the savory peach compote to the skillet and stir to combine. Cook, stirring occasionally until the chicken is cooked through and the sauce is warm throughout approximately 8-10 minutes.