Heat non-stick skillet over medium-high heat.
Add olive oil and butter to pan.
Place chicken roll-ups in pan and brown, 2 or 3 minutes on each side. Remove chicken.
Add sherry and cook to reduce by half, 1 or 2 minutes.
Add broth and bring to a boil.
Add cornstarch liquid and stir to thicken sauce.
Return chicken to pan.
Cover and simmer until chicken is cooked through, about 5 minutes.