This site is being deprecated.
Please see the official X‑Plane Support page for help.
From the X-Plane system requirements page:
"For Linux, we require the proprietary driver from AMD or NVIDIA to run X-Plane. You may be able to get X-Plane to run on the Mesa/Gallium driver with an Intel GPU, but this is unsupported. We absolutely do not support the fully open source drivers for AMD and NVIDIA."
This means that you can certainly try it, but there is no help or troubleshooting available from official Laminar Research sources. You may want to check the x-plane.org Linux forums to see if anyone has experience with it specifically.
This site is no longer being actively maintained.