Gold, who is 23 and from Colarado, finished behind compatriot Chloe Kim and silver medalist Jiayu Liu of China.
"To be able to bring home a medal to the town that has given me so much is amazing,” Gold told the Denver Post.
“It’s not even the results. It’s just like the whole experience, the whole process has been so much more enjoyable for me.”
There was more disappointment for speed skater Vladislav Bykanov - Israel's top medal hope - after he was disqualified in both the 1,500m and 1,000m events.