The Accelerated Slow Roasting Apparatus is a device for slow-and-low cooking a whole previously butterflied-prepared animal carcass comprising a closed cooking chamber with a plurality of adjustable air vents arranged on the bottom edge of the cooking chamber and a plurality of adjustable opening vents on a vertical side of the lid of the cooking chamber, and a slide out cooking grate with adjustable rails to support the grate while out of the cooking apparatus, a plurality of removable cooking fuel trays, wherein the cooking grate is positioned between twenty-five and forty centimeters above the cooking fuel trays to enable a flame-flare-up free, time-accelerated, slow-and-low cooking of the animal carcass in half, or less than half, of the traditional sixteen to twenty-two hours cooking time.