I have not tried them myself, because I own Heusinkvelds, but I know that the Simjack pedals are actually working on Linux. All those Heusinkveld clones (Simjack, Simsonn, Simruito) are often recommended because of their high value for the low price, so that's what I would go for. You also can check on the Linux Simracing Matrix channel: https://matrix.to/#%2F%21iDfbActWrqjZKJomiv%3Amatrix.org%3Fvia=matrix.org&via=tchncs.de&via=synapse.brak.space
For my experience with the Heusinkveld pedals on Linux: You don't have to have any software constantly running. I set them up on Windows years ago when I was still dual-booting, but haven't used the Heusinkveld software ever since. No idea if you can get the software running with Wine for initial setup.
Edit: Concerning wheels, you can also check out this compatibility list: https://github.com/JacKeTUs/linux-steering-wheels I was racing with a Logitech G29 for years myself before I made the switch to a Moza base last year. There is no extra list for pedals because they are basically just stupid 3-axis controllers. If you really want a native Linux software to calibrate your wheels, there is one for Moza pedals: https://github.com/Lawstorant/boxflat