A diagnostic system for determining the cathode gas quality of a fuel cell system has a fuel cell stack, with a diagnostic fuel cell which can be connected at the cathode side to a cathode supply line and at the anode side to an anode supply line of the fuel cell system. The diagnostic system furthermore comprises a detection unit which is configured to detect a measured value or the measured value time curve of the diagnostic fuel cell operating with the cathode gas provided via the cathode supply line and with the anode gas provided via the anode supply line. The present disclosure moreover relates to a fuel cell system having a diagnostic system, and to a corresponding method.