Apparatus for producing a serving of frozen confectionery product is characterized by a supply of liquid gas, a support for removably carrying a disposable container that holds a volume of unfrozen confectionery mix, and a holder for releasably holding a disposable agitator, such that the agitator extends into confectionery mix in the container. A valve controllably dispenses liquid gas into the confectionery mix in the container while relative motion is imparted to the container and agitator to agitate and admix the confectionery mix and liquid gas while the liquid gas mix evaporates to cool and freeze the confectionery mix, through a transfer of heat from the confectionery mix to the liquid gas and through the latent heat of evaporation of the liquid gas, to produce the frozen confectionery product.