We present a space environmental test campaign of functionally coated, high-quality Alexandrite laser crystals developed in the course of the Horizon 2020 project GALACTIC. The campaign comprises gamma and proton irradiation as well as thermal cycling tests. As the result of a detailed qualification procedure consisting of transmittance measurements, LIDT, tape-lift, and functional laser tests in a diode-pumped configuration before and after environmental testing, their suitability for space applications could be demonstrated.