Heat oil in a large skillet over medium heat. Add onion; sauté until translucent, 3 to 4 minutes.
Add chicken to skillet; cook until lightly browned, 1 to 2 minutes per side.
Combine ketchup, sugar, soy sauce, lemon juice, and pepper in a bowl; pour over chicken. Bring to a boil, then reduce heat.
Cover and simmer until chicken is no longer pink in the center and the juices run clear, 25 to 35 minutes. An instant-read thermometer inserted into the center should read at least 165 degrees F (74 degrees C).
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