How can I change the color of my prompt in zsh (different from normal text)?

Put this in ~/.zshrc:

autoload -U colors && colors
PS1="%{$fg[red]%}%n%{$reset_color%}@%{$fg[blue]%}%m %{$fg[yellow]%}%~ %{$reset_color%}%% "

Supported Colors:
red, blue, green, cyan, yellow, magenta, black, & white (from this answer) although different computers may have different valid options.

Surround color codes (and any other non-printable chars) with %{....%}. This is for the text wrapping to work correctly.

Additionally, here is how you can get this to work with the directory-trimming from here.

PS1="%{$fg[red]%}%n%{$reset_color%}@%{$fg[blue]%}%m %{$fg[yellow]%}%(5~|%-1~/.../%3~|%4~) %{$reset_color%}%% "

Zsh comes with colored prompts builtin. Try

autoload -U promptinit && promptinit

and then prompt -l lists available prompts, -p fire previews the "fire" prompt, -s fire sets it.

When you are ready to add a prompt add something like this below the autoload line above:

prompt fade red