Axions may be produced in abundance inside stellar cores and then convert into observable X-rays in the Galactic magnetic fields. We focus on the Quintuplet and Westerlund 1 super star clusters, which host large numbers of hot, young stars including Wolf-Rayet stars; these stars produce axions efficiently through the axion-photon coupling. We use Galactic magnetic field models to calculate the expected X-ray flux locally from axions emitted from these clusters. We then combine the axion model predictions with archival NuSTAR data from 10 -80 keV to search for evidence of axions. We find no significant evidence for axions and constrain the axion-photon coupling gaγγ 3.6 × 10 −12 GeV −1 for masses ma 5 × 10 −11 eV at 95% confidence.