Tigers are apex predators of Asian forests, grasslands, and mangroves—from Siberia's temperate woods to Sumatra's tropical jungles. Antarctica is a frozen desert. The mismatch is total.
Antarctic coastal summer: −10°C to 0°C. Winter: −40°C to −60°C. Interior: −60°C average. Even Siberian (Amur) tigers, the coldest-adapted subspecies, face winter lows of −30°C to −40°C in protected river valleys with prey and forest cover. Antarctica offers no refuge.
Tigers need large ungulates: deer, wild boar, gaur, buffalo. Antarctica has none. The largest land animal is a flightless midge (Belgica antarctica, 6 mm). Marine life (seals, penguins) is inaccessible to a terrestrial hunter on ice.
No trees, shrubs, or ground cover for stalking, denning, or shade. Just ice, rock, and moss.
Tigers lack the metabolic adaptations of polar bears or penguins—no blubber, no counter-current heat exchange, no huddling behavior. They'd succumb to hypothermia, starvation, or both within days.
Even if you built a heated enclosure with imported prey, you'd be running a zoo, not a wild population. Antarctica's Treaty System also prohibits non-native species introduction.
Tigers belong in Asia. Antarctica belongs to the cold.