cAdvisor doesn't monitor container restarts, but it does pass through / expose the Docker label container_restart_count
to you.
Unfortunately, being a label, you cannot really monitor it. And it looks like this isn't something cAdvisor plans to support soon, as the issue has been closed.
I am not proud of this and hope cAdvisor will support this more easily in the future, but, it does work well. Here is a Prometheus rule you can use to define this metric.