Unfortunately, we don't have direct integration with Squarespace, like we do with Shopify.
However, it is possible to integrate with Squarespace through the Gooten API. In order to do this, you would need to develop the connection between Squarespace and Gooten via the Squarespace Commerce API. You can find some more information by clicking here.
Note: This integration will be seamless and will not require Amazon or any other third party platform existence.