If you have a transfer switch with a "kAIC" rating, it must be one of the types that utilize circuit breakers as the switching devices. You should be able to read the circuit breaker part numbers somewhere and look it up in the mfr's data sheets.
If the transfer switch mechanism does not use circuit breakers, it does not have a "kAIC" rating on it. The "IC" means "Interrupting Capacity" and if the devices are not fault interrupting devices, such as circuit breakers, then they cannot have a kAIC rating. If someone is telling you otherwise, they are mistaken.
If this is a MANUAL transfer switch, i.e. a double throw safety switch or a set of interlocked rotary switches, and there is a set of fuses ahead of each side of the switches, then the fuses will have kAIC ratings at the various voltages. But technically, the switch itself does not have the rating, the fuses do and the switch has a "withstand" rating, now also known as an SCCR (Short Circuit Current Rating).
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