Described herein are methods for producing a hot forged material in air using a Ni-based superalloy for the die. Also described herein are methods for producing a hot forged material, by placing on a lower die a material for hot forging, of which part or all of the surface is coated with a glass-based lubricant, and pressing the material for hot forging with the lower die and an upper die, to form a hot forged material, wherein one or both of the lower die and the upper die are made of a Ni-based superalloy, and wherein the surface of the die in contact with the material for hot forging is coated with a glass-based lubricant containing SiO2 as a main component, in which the total content of alkali metal oxides is 0 to 10.0% in mass %.