It is known that the introduction of small Na2O additives (up to 5 mol. %) into the glass composition of the ZnO–MgO–Al2O3–SiO2 (ZMAS) does not interfere with the production of zinc spinel (ZnAl2O4) based glass-ceramic and allows the usage of ion exchange for further improve their mechanical properties. In this work, the submicrostructure of ZMAS glass-ceramic with sodium oxide additives in a transparent state and at the initial stages of opalescence and opacity was studied using the TEM method using XRD data. The main crystalline phase, zinc spinel, embedded in the glass-ceramic, does not contain sodium cations: they remain in the residual glass phase, creating favorable conditions for the strengthening of the material by ion exchange. After heat treatment of glass for 10 h in the temperature range 770…790 °C, in addition to zinc spinel, zinc-magnesium silicate (Zn, Mg)2SiO4 crystallizes, the particle sizes of which reach 15…20 nm, while the sizes of ZnAl2O4 crystals do not exceed 6 nm, and therefore it is the silicate phase that limits the conditions of crystallization and prevents the improvement of strength properties and preservation of transparency.