See the list of supported console games.
Some console games on XBOX and PS4 can send their telemetry data over a network. This means that a PC running SIMRIG Control Center can capture the telemetry data from your console and convert it into motion commands for the SIMRIG SR1. In other words: it is possible to use a console with SIMRIG SR1 but it requires a PC and a local network.
In the figure above a console is connected to a local network. A PC is connected to the same local network and to a SIMRIG SR1. The PC receives telemetry data over the network. Converts it into motion commands and sends them to SIMRIG SR1 over USB. The PC is only responsible for signal processing. The game is running on the console.
A wired network connection is recommended on both PC and console for increased stability and lower latency.