We develop a theoretical framework for the emergence of higher-order harmonics in the Little–Parks oscillations observed in kagome superconductors. Motivated by recent experiments suggesting that certain kagome compounds exhibit pronounced granularity—an effect that appears to be enhanced by the onset of charge-density-wave order—we construct a two-stage model capturing the interplay of microscopic and mesoscopic physics. On the microscopic level, we derive the effective Josephson coupling of a granular structure, including higher-harmonic contributions to the coupling. On the mesoscopic level, we analyze the magnetic-field dependence of the superconducting free energy in the presence of these Josephson couplings, demonstrating how disorder and granularity convert these Josephson interactions into higher-order Little–Parks oscillations. Our central result is that such higher harmonics naturally arise when the underlying pairing state in kagome materials is unconventional, providing a clear diagnostic for identifying nontrivial superconducting order in this family of systems.