2个选项供您参考:

1.Azure Cosmos DB迁移工具，您可以将cosmos db数据导出到本地json文件中，请参考此 cosmos数据库源放入本地文件系统接收链接.

Azure Cosmos DB has an option of import to the database from local storage however, it has no such option of export.

I want to know all possible methods of directly exporting the database or a container to my local storage (json files) ie. without involvement of any other storage such as blob storage.

Thanks in advance!

2 options for your references:

1.Azure Cosmos DB Migration Tool, you could export cosmos db data into local json file,please refer to this link.

2.Azure Data Factory,you could use copy activity to transfer data from cosmos db source into local file system sinklink.