In `zsh`, it's:
set +o list_types
When using `complist`, you can also change its color to make it less visible:
zstyle ':completion:*' list-colors tc=33 ${(s.:.)LS_COLORS}
to make it yellow (less visible on a terminal with white background), and use the GNU `ls` colors (assuming you've run `eval "$(dircolors)"`) for the rest.