Furthermore, it's absolute speculation, with no evidence or support, that there are no Americans on the list because of some childish hatred I hold towards them.
What is more likely is that the United States is only 200-odd years old, whereas the people of most of the nations on that list are thousands of years old. Furthermore, American military might has only been noteworthy in the 20th century, meaning there's a very small window of opportunity, about a hundred years, for a great American general or tactician to arise.
And anyway, there have been some. Among the noteworthy American military leaders, we can cite: Andrew Jackson, Robert E. Lee, Dwight D. Eisenhower, George Patton. But I believe, and I think most people would agree with me on this, that, as great as many of those men were, you can't compare them to Napoleon or Caesar, etc., who went above and beyond, whose names are not just standard fare for students of history, but standard fare for every human on Earth.