Nikon Z fc has a Nikon Z lens mount and currently there are 184 native lenses available for this mount.
The latest released lenses that are compatible with the Z fc are the Tamron 12-20mm f2.8, the Viltrox 26mm f2.8 Z and the SG-image AF 35mm f2.2.
Nikon Z fc doesn't have a sensor based image stabilization system but
21 of these lenses already comes with optical image stabilization.
Since Nikon Z fc has a APS-C sensor, it has a focal length multiplier of 1.5x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on Z fc.
You may also also be interested in these:
Nikon Z fc Lenses with Image Stabilization
Nikon Z fc Lenses with Weather Sealings