Was there ever any particular desire to use a specific part of Nazi experiments on humans?
Yes. A concrete example would be the Dachau Hypothermia Experiments
How was it resolved?
It isn't resolved. It remains a matter of controversy.
In the 1984 Hastings Center Report, Should the Nazi research data be cited?, Kristine Moe addressed some of the ethical issues raised by the use of such research. From the abstract:
While the horror of the Nazi medical experiments has been unanimously acknowledged, debate continues over whether results of those experiments which are scientifically sound should be used and cited in publications and, by extension, over whether any ethically-suspect research should be cited or published (...) She proposes that scientists use Nazi data only where the scientific validity is clear and there is no alternative source of information, and only with acknowledgement of the incomprehensible horror that produced them.
At the time that paper was published, almost 50 papers about hypothermia which made reference to the Dachau experiments had been published. However, that represented only a small fraction of the literature on the subject, most researchers preferring not to reference those experiments.
Baruch C. Cohen came to a similar conclusion to that reached by Kristine Moe in his paper The Ethics Of Using Medical Data From Nazi Experiments, published in Jewish Law. He wrote:
"Absolute censorship of the Nazi data does not seem proper, especially when the secrets of saving lives may lie solely in its contents. Society must decide on its use by correctly understanding the exact benefits to be gained. When the value of the Nazi data is of great value to humanity, then the morally appropriate policy would be to utilize the data, while explicitly condemning the atrocities."
For examples of how the debate has played out in the media, you might find these articles informative:
These stories all relate to the proposed publication of a paper by Dr. Robert Pozos based on the results of the Dachau hypothermia experiments (see below).
The argument is complex, but boils down to a fairly simple question:
Is it ethical to use the results of Nazi human experimentation (which was - by its very nature - unethical) in research that may lead to treatments that save human lives? Does using their data in that research, in some sense, validate the criminal, and morally repugnant, Nazi experiments?
Application of the data in research into treatments for hypothermia
Although the Nazis had attempted to destroy the evidence of their experiments, after the war an American officer, Major Leo Alexander, studied the surviving data, interviewed witnesses from Dachau, and wrote a description of the experiments and their results.
His paper, The Treatment of Shock from Prolonged Exposure to Cold, Especially in Water, was published by the US Department of Commerce in 1946 (report No 250).
Major Alexander's report was subsequently cited in a number of research papers on the subject of the identification and treatment of hypothermia, produced by both the US Navy (see examples in Man in the Cold Environment. A Bibliography with Informative Abstracts, published in 1982) and the Royal Navy (for example, the 1973 paper Hypothermia: Recognition and Treatment of Immersion Hypothermia)
In 1988, Dr. Robert Pozos, then director of the Hypothermia Research Laboratory at the Duluth campus of the University of Minnesota, submitted a paper to the New England Journal of Medicine that included data from Major Alexander's report into the Dachau hypothermia experiments.
The paper was rejected by Arnold Relman, then editor of the Journal, on ethical grounds.
For more information about the debate, and the impact on research into treatments for hypothermia, see the 1990 paper, Nazi Science — The Dachau Hypothermia Experiments, by Robert L. Berger, MD, in the New England Journal of Medicine.