Offline solutions
The zmv manual is in the zshcontrib man page.
You can reach it directly with
LESS="$LESS +/^ *zmv *\\[" man zshcontrib
(or LESS="$LESS +/zmv" man zshcontrib which takes you a few lines further up because zmv is mentioned in the description of zcp). You can use man zshall instead of man zshcontrib if the zshall man page is available on your system.
If you use Info, you can reach it by running info zsh and typing i then entering zmv.
info --index-search=zmv zsh
Online help
The zsh guide has a fairly detailed section on zmv.
Searching for zmv on this stackexchange will turn up several usage examples of varying complexity.
Tips
You can perform a dry run with zmv -n (-n is a common way of requesting a dry run).
To benefit from zmv and friends, it helps to have code like the following in your ~/.zshrc:
autoload zmv
alias zmv='noglob zmv'
alias zcp='noglob zmv -C'
alias zln='noglob zmv -L'
alias zsy='noglob zmv -Ls'
man zshcontrib,man zshallandinfo zshall give empty results for me on Ubuntu with zsh installed. How do I get them? – xeruf Oct 06 '18 at 09:28zsh-docpackage is installed. If you have the Ubuntu package but not the man pages, there's something wrong with your installation, but it's impossible to know why without way more information. If you'd like help with that, you can ask a question on this site and provide all relevant information: what version of Ubuntu you have, how you installed zsh, what customizations you've made, etc. – Gilles 'SO- stop being evil' Oct 06 '18 at 22:08