The Maya FBX plug-in is available for Linux.
The Maya FBX plug-in is compatible with the following versions of the Linux Operating system:
To install the Maya FBX plug-in:
./fbx<ver>_maya<ver>_linux_enu
(Where FBX<ver> is the version of the Maya FBX plug-in you have installed).
This installs the plug-in to the following directory:
/usr/Autodesk/maya<ver>/bin/plug-ins/ (where <ver> is the version of Maya you have installed).
If you install Maya in another folder, you can specify the path on the Command Line after: ./fbx<ver>_maya<ver>_linux_enu /home/maya/mypath/
(Where FBX<ver> is the version of the Maya FBX plug-in you have installed.)