Hypothetical question about organ theft?

I’m watching a messed up Korean movie, and I got to thinking: If someone stole my kidney and put it in someone who needed a transplant, do I have a legal right to have it back?

Consider two situations, one where the recipient knows the kidney is unlawfully stolen, and the other where the recipient knows nothing of where it came from. Also assume the recipient will die if the kidney is removed, and I can survive with only one.