It's in the official docs for zoxide, you are supposed to use the z alias, and many distros just set it up directly like that. I love doing z notes from wherever I am.
That doesn't require a separate package, especially one which uses eval on every new shell. And isn't messing with my distros or personal aliases (and doesn't introduce cargo-packaging).
Simply adding one to two (you get the gist) directories and a keybind for cd .. is more slick.
There are cases where you might use pushd . but even then other tooling should already cover your needs.
It's also so easy that you can temporarly append to $CDPATH for a specific session.
But again, then a second pane or pushd is already available.