We propose new transition metal (TM)-doped $\mathrm{ZnSe}/{\mathrm{As}}_2{\mathrm{S}}_3\text{:}{\mathrm{As}}_2{\mathrm{Se}}_3$ composite materials for mid-IR fiber lasers. The composites are the suspension of crystalline micro- and nanosized ${\mathrm{TM}}^{2+}\text{:}\mathrm{ZnSe}$ or ${\mathrm{TM}}^{2+}\text{:}\mathrm{ZnS}$ powders in chalcogenide glasses with the refraction index matching. Mid-IR room-temperature lasing of ${\mathrm{Cr}}^{2+}\text{:}\mathrm{ZnSe}/{\mathrm{As}}_2{\mathrm{S}}_3\text{:}{\mathrm{As}}_2{\mathrm{Se}}_3$ microcomposite material is demonstrated at the $2.4\mathrm{\mu m}$ wavelength.