Fuel consumption best is driving style, right foot lighter on the pedal. Use cruising speed, don't do un-necessary pick up, coast to stop rather then use the brakes, lighten the car, don't carry excessive stuff, check air pressure and so on. Even though may be negligible but savings is savings.
Back to the oil. Currently, what viscosity are you using? If using SS 10w-40, changing to lighter 5w-30 you can feel the engine being lighter, but first check the car manual whether 30 weight is recommend for your car
Lower viscosity oil will improve fuel economy, regardless whether it is conventional mineral, hydro-cracked, PAO or Ester. But lower quality based would risk viscosity being sheared down below allowable limit in short time, probably shorter than pre-planned oil change interval. So synthetic base would be a more rational choice for low viscosity oil if you are looking at both longer drain interval and fuel economy. Apart from this, formulation, such as lubricity and fluidity in the oil would play a part in improving the fuel economy.