Based on my reading of the manual for the device, there is no signalling or connection of any type between the smart module and the ATS. (There is no radio signal.) The smart module just monitors the genny frequency and sheds the load if the genny goes below 58 hz for 3 seconds. This means all of the installed smart modules (up to 8) will shed simultaneously. They will reconnect the load after a time delay (if the genny is running above 58 hz). The time delay is determined by the priority setting. No two devices are supposed to be set to the same priority. Priority 1 reconnects after 5 minutes and each priority after that is delayed by an additional 15 seconds. Based on this, you could use these smart modules with any brand of ATS or even a manual TS.
ETA: They can be installed anywhere you can intercept the circuit. At the panel seems most convenient, but they can be installed next to the device as well. The case is NEMA 3R and there are 1/2" KO's. They only work with 240V loads. Not sure why you would want to shed a 120v load, but somebody at Home Depot's site asked this question.