A chute for immobilizing an animal (e.g. cow) wherein the chute during a hoof-trimming operation or the like. The chute is comprised of an inner wall and an outer wall and a front and rear gate. The inner wall has a rectangular opening near the front thereof with a backing plate having a hole secured over the backside of the opening in the inner wall. A removable pad is comprised of a rectangular frame which fits in the opening in the inner wall. The frame has a flexible cover (e.g. anti-microbial material) secured over its front. An inflatable bladder (e.g. pneumatic inner tube) is inserted through the hole in the backing plate and is positioned within the frame and behind the cover. The bladder is then inflated whereby the bladder expands to produce a pillow-like support for the cow's shoulder while the cow is in the chute.