The ubiquity of Shack-Hartmann wavefront sensors in current observatories makes them interesting tools for atmospheric turbulence parameter estimation. We showed in Andrade et al. 2019 how to derive the Fried parameter and outer scale in a robust way, correcting for cross-coupling (when a Zernike basis is used). In this poster we apply the method to the telemetry of several wavefront sensors at Paranal Observatory: SAXO (SPHERE), NAOMI (VLTI) and CIAO (VLTI). Both open loop and closed loop data are addressed. We find that our results are compatible with simultaneous DIMM measurements. The main difficulties in implementation are highlighted and recommendations for telemetry data curation are made.