The fabrication and applications of two-dimensional complex oxide heterostructures have gained great attention. However, the achievement of these materials in one-dimensional form with multiple interfaces is still elusive. Here, we report the growth of manganite CaMn₃O₆/CaMn₂O₄ heterostructure nanoribbons via the use of CaMnO₃ powders as the precursor for the molten-salt process. In contrast with the antiferromagnetism in CaMn₃O₆ and CaMn₂O₄ in the bulk, magnetization measurements indicate the coexistence of a ferromagnetic phase with a spin-glass-like component in CaMn₃O₆/CaMn₂O₄ heterostructure nanoribbons. An asymmetric magnetization hysteresis loop observed in the applied magnetic field H ≤ 3 T is attributed to the coupling between the antiferromagnetic phase and the ferromagnetic or spin-glass-like phase in CaMn₃O₆/CaMn₂O₄ heterostructure nanoribbons.