Here's a breakdown:
* Japanese Godzilla Films: 36 (from 1954 to present)
* American Godzilla Films: 2 (1998 and 2014)
However, there are also several Godzilla movies that are co-productions between Japan and America. These include:
* Godzilla vs. Kong (2021): A co-production by Legendary Pictures (USA) and Toho (Japan)
* Godzilla: King of the Monsters (2019): A co-production by Legendary Pictures (USA) and Toho (Japan)
* Godzilla (2014): A co-production by Legendary Pictures (USA) and Toho (Japan)
So, depending on how you define "American Godzilla movies", the answer could be 2, 3, or 5.