On the back of some big serving she increased the pressure in the second set, breaking Bronzetti twice more to seal victory.
Former Australian Open winner Sofia Kenin progressed with a 7-5, 6-2 win over Ana Bogdan of Romania.
The 25-year-old Kenin, one of a record 15 American women in the draw in Beijing, next plays 12th-seeded Diana Shnaider in the second round.
American Taylor Townsend will join Kenin in the second round after beating Martina Trevisan 6-2, 4-6, 6-3.
Also, China’s Wang Xinyu beat Mai Hontama of Japan 6-1, 6-3 and Yuliia Starodubtseva defeated Laura Siegemund 6-4, 7-6 (3).