Thousands of soccer fans—decked out in red, white and blue—flooded lower Manhattan on Friday for the first ticker-tape parade celebrating an all-female sports team.

The U.S. women’s soccer team, fresh from Sunday’s 5-2 World Cup victory against Japan, were greeted in the morning with a shower of confetti, thousands of fans and shrieks of joy as their floats passed through the Canyon of Heroes.

At...