So whats the problem, Ive never known any parents to keep the cord?! And if they can use something they would normally put in the trash, go for it.
My last baby was born 10 years ago. At that time, IIRC you could donate cord blood but there were fees involved. I hope that has changed, but make sure you ask, just in case.
Some will, for religious or other reasons, not cut the cord and leave it attached until it dries up and separates on its' own. Never seen that but a friend whose wife works as a midwife explained it one time.