Gyroid foams have significant potential for biomedical applications. Their highly porous configuration is beneficial for biological cell growth and proliferation, and thus, they are a valid alternative to design scaffolds for biomedical applications, such as bone tissue growth. The modification of the cell density allows for the mechanical properties of the implant to be adjusted and avoiding unwanted phenomena, such as stress shielding occurring when the stiffness of the implant is much higher than the stiffness of the replaced tissue. Thus, this work consisted of the analysis of the gyroid unit cells through numerical homogenization. The obtained results allowed to correlate the apparent density of the gyroid foam with the relative Young’s modulus and relative yield stress.