I’m not sure, but I guess you mean the download button that appears in Google Chrome’s HTML5 audio player? You could modify the plugin to add controlsList="nodownload"
— find line 81 of playpress.php
and replace
$output .= '<audio controls preload="metadata">';
with
$output .= '<audio controls controlsList="nodownload" preload="metadata">';
It’s not a very good or simple way, though. A better solution might be to disable the plugin and use WordPress’s built in player: https://codex.wordpress.org/Audio_Shortcode
Thanks for your answer, but it doesn’t work (button is still here, and the download works).
I don’t know how to use the shortcode, could you give me an example?
At the moment I add a song like this:
[audio mp3="http://www.website.fr/wp-content/uploads/Song.mp3"]