Animatronic dinosaur statue in the snow
During the Jurassic, Antarctica and the Australian continent were still connected. Although the four seasons were not as distinct as they are now, there will still be periods of snow and ice in Antarctica. There were also dinosaurs live in Antarctica. The climate in the Early Cretaceous was relatively cold and feathered dinosaurs evolved. It should have snowed at that time. So not every dinosaur can adapt to ice and snow, but at least some can.