Solicit it.
For the most part, "unsolicited" means you've just sent them the whole thing out of the blue. No one will read that. Send a query letter or e-mail first, containing a BRIEF description of the piece and any information about your own experience that you feel is relevant.
If they are interested they will ask to see more. I also recommend you do a little homework first to find out something about the producer or agent, i.e. what are they looking for in material and/or a client? Are they only interested in established talent or are they open to unrepped writers?