Copernicus Sentinel-1 Synthetic Aperture Radar (SAR) mission systematically acquires data in Interferometric Wide swath mode over European land and water. This study investigates the potential of this data processed into Level-1 (L1) Single Look Complex (SLC) to compute meaningful image cross-spectra over the ocean to retrieve ocean surface waves parameters. First, each L1 SLC is processed relative to a "tile'', a prescribed spatial division of the burst (a unitary acquisition sequence of Sentinel-1 TOPS mode) and SAR image cross-spectra are defined within the burst and between two adjacent bursts. Then, using a neural network approach based on SAR image cross-spectra and on the WaveWatch III® wave model, an algorithm is proposed to provide estimates of significant wave height, fractions of wave height due to wind sea, and mean wave period. As obtained, the algorithm yields to promising performances when validated against in situ and satellite data.