CrowdStrike Falcon sensor support is very kernel specific and currently FedoraCoreOS (FCOS) is unsupported. CrowdStrike support have indicated that FCOS support is a H1 2021 roadmap item but with no hard delivery date.
Hopefully the September 2020 introduction of Falcon sensors that can cope with minor kernel updates (“Zero Touch Linux Updates”) will provide strong support for self-updating OS’s like FCOS without resulting in sensors being constantly degraded into an RFM (“Reduced Functionality Mode”) mode.
For those running K8S on OKD on FCOS a container-level CrowdStrike sensor is available but obviously this is not intended to provide the host-level monitoring that regular Falcon sensors provide.