Salt and pepper the chicken breasts. Lightly brown the chicken for 5 minutes over medium-high heat with the oil then set aside on a plate.
Reduce the heat to medium-low. Add onion, garlic, curry powder, and the ginger. Cook for 2 minutes. Add the califlower, coconut milk and broth or water. Cover and simmer about 5 minutes until the vegetables are crisp-tender. Add the chicken back and cook until sauce is thickened and reduced (about 5 minutes.