They suck. Now, before you think this is some moronic opinion from someone with no experience, let me break it down.
I worked for U.S. Music (Washburn, Parker) in the Mundelein, IL Custom Shop for a few months. I left after getting a good look at the company. I did not like the work environment. Annnnyway. While I was working there, I was one of 2 assembly guys for Parker Guitars. All I did all day was put then together...at least in a perfect world. I spent most of the day dis-assembling return guitars with defects.
Regular defects (and by regular, I mean it happened often) include:
1-Frets falling off, because they are glued to the carbon fiber with Lok-Tite. If they are not done perfectly, they fall off easily. There is only one guy who puts these frets on, and it's a REALLY hard job to do.
2-bubbles under the carbon fiber from air and moisture in the wood.
3-Pickups not working. Half of the pickups we got from SD did not work.
4-Piezo bridges not working. Most of these fail testing as well.
These are the more common problems. About half of the guitars we got at the assembly area had to go back because of neck/fret or finish issues. The import models rock for the money, honestly. But for the price you pay for the American custom shop "quality" it isn't worth the price. Don't expect a fast turnaround time if you need repairs either. The quality of the Parker line next to the Washburn USA Custom Shop like (which are both built in the same factory outside Chicago) is crazy. The Washburns blow them out of the water in every way.
Now, not all Parkers are bad. Like I said, the import models rock for the money, and if you can find a Parker from back before US Music bought them out, the quality will be top notch. I have a buddy who loves his Parker, one of the new ones, and I can't figure out why. He works for US Music as well, so he knows the issues (he's also the only person in that plant I could find who LIKES Parkers). It just breaks down to what you like individually. The biggest issue is that Carbon Fiber neck and fretboard though...and now Washburn will be putting that neck on their new V model that will be debuting at NAMM...but that's a badass guitar, if I do say so myself
P.S. Thump, NiteFly's are still made in the US...they just can't make them right anymore.
Some of them can sound better than others. I owned a Fly Deluxe that actually sounded nice in a lot of ways (although it didn't sound very deep). But if I had to make a snap decision on whether to buy one without having tried it, I'd say no. For the most part the Parkers I've used have sounded fairly "flat". I'd rather get 
