I had this issue with my own 7700K. From what I have seen, it's purely about the generation—Microsoft requires 8th Gen Intel or newer for the official upgrade path. It's a hard requirement, so the health check app is working correctly, even if it feels arbitrary. Let me know if that works.
Has anyone else hit a wall with the Windows 11 upgrade check? My PC runs Windows 10 perfectly, but the PC Health App says my CPU isn't supported. It's an Intel Core i7-7700K. I keep getting the "This PC doesn't meet the minimum system requirements" error. I'm confused because it's a 64-bit, 4-core CPU. Is there really no way around this, or am I missing something?