Rogowski coil current rating
The coil as such doesn't have a current rating cause it doesn't care for the current that flows through your wire. The coil just recognizes the dI/dt and produces a corresponding voltage based on the coil's sensitivity.
A very high dI/dt can cause high voltage peaks, therefore you need to specify the voltage rating of the coax cable, and even more important, the following integrator needs to be designed accordingly.
The actual measuring happens with the integration of the coil's output voltage, for that reason you cannot reliably measure DC (unless you do the integration in software).