A death row inmate who wants to donate an organ should have that as an option, but should not be forced to donate. If necessary the means of execution should change in order to allow this. As I understand it organs poisoned by lethal injection or fried by an electric chair don't usually function well. I'm against the death penalty in the first place but as long as we have it an inmate who wants to redeem himself by donating an organ or wants to donate to help a friend or family member in need should be allowed an alternative method of execution that enables him to do that, and even allow him to fast track the execution if the organ is needed sooner rather than latter.
Even though people are on death row , they do have a on say how their body is treated after death. First, to be an organ donor, an oxygenated blood supply has to be maintained throughout the body so the organs don't die prior to transplant. The body is most often kept alive artificially to achieve this. So killing then reviving a death row person doesn't follow on what makes sense. Secondly, various religions do not allow what is seen as "desecration of the body." The body has to be buried whole; intact.