Final answer:
The statement that William Tecumseh Sherman fought Native Americans in the West after the Civil War is false. Sherman's role after the war involved administrative and strategy work, not direct combat.
Step-by-step explanation:
It is false that William Tecumseh Sherman spent most of his time fighting Native Americans in the West after the Civil War. Following his notable campaigns such as the Atlanta Campaign and the March to the Sea during the Civil War, Sherman went on to serve in high command roles within the U.S. Army.
General Sherman's postwar career primarily involved overseeing the army's engagement with Native American tribes as General of the Army, but he himself was not frequently in the field. His military strategies and the policies he supported affected the Native American population, but his personal involvement in these conflicts was more administrative and strategic rather than direct combat.