Yes, we use the Colibri i.MX8X module with a custom carrier board, and we have a ICS-43434 microphone on that carrier board (named Hygie).
Thank you for clarifying. Now as for your issue here. I found a similar thread where another customer got the ICS-43432 microphone working on i.MX7: I2S Clock Frequency
Looking at this thread, it seems the assigned-clock-rates node should not be in the codec node, rather the sai node.
As for additional information. When you boot the device do you see any logs in dmesg that related to this audio codec that might provide further information.
Best Regards,
Jeremias