OOooo! Soak it in buttermilk? Like a whole turkey immersed?
That could be expensive
To test this buy a fryer and kosher salt it (get the salt all through the internal cavity). Let it sit for about 20 minutes in a clean sink then rinse out all the kosher salt, rinse really well. Next cut it into pieces. I put the pieces in a plastic Ziploc bag, cover in buttermilk, get all the air out and let sit in fridge until ready for use, overnight is good but a couple hours works too.
If you are deep frying the chicken rinse all milk solids off as you'll soften or slough your coating, that isn't necessary for pan frying. Check it yourself and see what you think. It's not as salty as a brined bird.
One way to remove extra saltiness from a brined meat is to soak the brined piece overnight in water (in the fridge). I'd try both ways. I use both ways and sometimes I even use a high salt, garlic, rosemary paste to pull the marinade into a steak I haven't had time to marinate. It leaves a piece of choice meat with a firmness reminiscent of the best prime
(my family was poor, we had to use tricks LOL).