Yes, Ryzen 5 5600X processor can run Windows 11. There are 4 of the AMD Ryzen 5000 series (Zen 3) processors support Windows 11, including Ryzen 5 5600X processor. According to the processor list compatible with Windows 11 released by Microsoft, 2nd gen Ryzen (Zen+) CPUs or higher version support Windows 11. Therefore, Ryzen 5 5600X is compatible with Windows 11, which means its based computer can upgrade to Windows 11 via Windows upgrade program.

The other 3 AMD Ryzen 5000 series (Zen 3) processors which are compatible with Windows 11 are as follows:
- Ryzen 5 5600X
- Ryzen 7 5800X
- Ryzen 9 5900X
- Ryzen 9 5950X
“This PC can’t run Windows 11” on a Ryzen 5 5600x
Anyway, if you wan to run Windows 11 your Ryzen 5 5600X computer need to meet the Windows 11 system requirement. The Windows 11 system requirements are:
- Processor with a frequency of 1 GHz or higher with at least 2 cores.
- at least 4 GB RAM.
- 64 GB internal storage.
- Hardware firmware that is compatible with UEFI and Safe boot.
- Trusted Platform Module 2.0
In summary, Ryzen 5 5600X supports Windows 11. Moreover, this article list AMD Ryzen 5000 series (Zen 3) processors that are compatible with Windows 11.