© 2019 Optical Society of America. All Rights Reserved. BACKGROUND: Performing imaging with scattered light is challenging due to the complex and random modulation imposed upon the light by the scatterer. Persistent correlations, such as the optical memory effect (ME), enable high-fidelity, diffractionlimited imaging through scattering media without any prior knowledge of or access to the scattering media. However, conventional ME techniques have been limited to gray-scale imaging. We overcome this restriction by using spectral coding and compressed sensing to realize snapshot color imaging through scattering media. We demonstrate our method and obtain high-fidelity multispectral images using both emulated data (spanning the visible and infrared) and experimental data (in the visible).