The meaning of the word "relinquish" in the statement from "Anti-Federalist Paper No. 84" is to abandon (D).
The dicitonary definition of "relinquish" is to voluntarily cease to keep/claim or to give up. Based on this definition and the meaning of the statement we can infer the best choice would be abandon. The statement could read as such:
"But it is not necessary, for this purpose, that individuals should abandon (or give up) all their natural rights. Some are of such a nature that they cannot be surrendered.