The optical properties of semiconductor nanostructured systems have attracted significant interest due to their implications in fundamental physics and their potential applications in optoelectronic devices. In particular, quantum dots-nowadays synthesized experimentally with high quality-have been employed in technologies such as quantum-dot solar cells, quantum information systems, and bioimaging applications. Among the various possible quantum-dot heterostructures, our focus is on III–V semiconductors, specifically spheroidal GaAs/AlGaAs multiple-shell quantum dots. In this paper, we report the computational determination of the absorption coefficient for different quantum-dot shapes, analyzing their behavior under externally applied electric and magnetic fields. Our main finding is that quantum-dot shape deformation significantly modifies the optoelectronic properties, which can later be finely tuned using external fields. The chosen system sizes, which lie within the experimental regime, result in an optical response suitable for intraband transitions in the terahertz range of the electromagnetic spectrum.