They publish statically-linked binaries on GitHub [0], so to install it, you just need to download and unpack a single file. But you don't get any automatic updates like you would if they provided an apt repository.
In the past I think I wound up using https://github.com/mgoltzsche/podman-static because I could not get those podman static binaries to work
See sibling comment above about them being just remote binaries.
[0]: https://github.com/containers/podman/blob/c8183c50/Makefile#...