A method for removing a part from a mold and to a machine for molding the part, the part made of a material having a glass-transition temperature and a melting temperature that is higher than the glass-transition temperature, and which is shaped in the cavity of a mold, includes at least two mold portions defining the shaping cavity therebetween. The mold is at a temperature between the glass-transition temperature and the melting temperature. The method includes opening the mold by spacing apart the mold portions, locally spraying a cooling gas toward the part remaining in a portion of the mold using at least one nozzle, and, after a predetermined time period following the start of spraying the gas, ejecting the part from the portion of the mold, the time period being such that the part reaches a temperature that is lower than the glass-transition temperature thereof.