If you want to use the type of player this page offer, I assume you'd need to make a small player (like 30px x 30px) make it transparent and then overlap it with the icon...
Which I haven't done before so I don't have a code for, and not much free time to try and make it right now sadly

But I've seen similar codes around so I can only advise you to search around with tags like 'music player' etc ?

I hope you'll find what you want !