Heat oil in frying pan over medium high heat.
Pat halibut filets dry with paper towels.
Place flour in shallow dish and season with salt and pepper. Dredge halibut lightly in flour mixture and place in hot pan.
Cook halibut until golden, about 3 minutes. Turn and cook until other side is golden, being careful not to overcook. Remove halibut to serving plate and allow to rest.
Deglaze the pan with chicken broth. Melt butter in broth and add garlic, capers, and parsley. Simmer 2 minutes. Add lemon juice to pan, stir, and pour over halibut. Serve immediately.