I don't know if I need a visa to immigrate to Antarctica or something.

1959 In February, 12 countries signed the Antarctic Treaty. Its main contents are: Antarctica is only used for peaceful purposes, ensuring the freedom of scientific investigation in the Antarctic region, promoting international cooperation in scientific investigation, prohibiting all activities of a military nature, nuclear explosions and radioactive waste disposal in the Antarctic region, and freezing territorial claims to Antarctica. At present, many countries in the world have joined the Antarctic Treaty.

Note: "Frozen territorial claims to Antarctica". So there is no country.

So you can't immigrate to the South Pole, because there is no government, so you can't get permanent residency.