A few months ago I booked a flight with American Airlines. My flight departs in a few weeks from Amsterdam to Philadelphia. It's just a regular ticket I just bought from the AA website without any special things like insurances or upgrades. Because of personal reasons I unfortunately have to cancel my flight.
If I try the cancel button on the American Airlines website I get an error message saying that they are unable to process my request and that I have to call the airline if I want to cancel my flight.
The ticket says it's a non-refundable ticket, but it also says that if it's being cancelled that I have to do it before a certain date (which I can't find anywhere on the ticket for some reason...It's a bit confusing to me) so before I make a call to the airline to cancel my flight, I would like to know if I have any right to get any money back. If so, how will I be able to get that money back? I can't find a clear answer anywhere on the website for when I want to cancel it myself, I only find my rights if it is being cancelled by the airline itself.
So basically my question: is there any way I get any money back when I cancel the ticket by myself?
Here's the ticket which I get when I download it from the website. The ticket I got in my e-mail is all in Dutch so I don't think it adds much value if I post that here.
Update (June 2017)
By filling in the right form at https://prefunds.aa.com/refunds/ , I managed to get back around €100 of unused airport taxes and stuff like that, so I basically lost only 2/3rd of the amount I paid. Better than nothing and actually more than I expected!