A method for oxidative desulfurization of liquid hydrocarbon fuels is disclosed. The method includes contacting a liquid fuel with a quantum dot hybrid catalyst including metal sulfide quantum dots intercalated over graphene oxide layers in a reactor vessel, heating the reactor vessel to a temperature between 25° C. and 200° C., and reducing sulfur content of the liquid fuel with a sulfur reduction amount of more than 95% wt. Reducing the sulfur content of the liquid fuel with the sulfur reduction amount of more than 95% wt. includes producing sulfone and sulfoxide compounds by oxidizing the liquid fuel with ozone gas in the presence of the quantum dot hybrid catalyst at the temperature between 25° C. and 200° C., and separating the sulfone and sulfoxide compounds from the liquid fuel by extracting the sulfone and sulfoxide with an extraction solvent.