The American Medical Association (AMA) policy H-360.958 supports exploring pilot programs to compensate living organ donors. The End Kidney Deaths Act proposes a ten-year pilot program specifically designed to compensate kidney donors. Below is a page from the AMA’s policy repository for reference.
It is important to note that the AMA’s Opinions E-6.2.1 and E-6.2.3 express concerns about compensating organ donors.
Here is the page from the American Medical Associations’ policy page.