Can you try to use the pattern option?
COPY INTO SALES.SF_DEV.CUSTOMER_PARQUET_TGT
FROM @EXTERNAL_STAGE_PARQUET_DEMO/partioned/customer/Country=INDIA/
MATCH_BY_COLUMN_NAME = CASE_SENSITIVE FILE_FORMAT = (TYPE = PARQUET)
PATTERN = '[^\/]*';
The pattern is to prevent any sub-directories (files containing the slash characters).
My test environment:
ls @my_stage/test/Country=INDIA/;
+--------------------------------------------------------------------------+
| name |
+--------------------------------------------------------------------------+
| s3://mysecretbucketname/test/test/Country=INDIA/data_0_0_0.csv.gz |
| s3://mysecretbucketname/test/test/Country=INDIA/hododo/data_0_0_0.csv.gz |
+--------------------------------------------------------------------------+
ls @my_stage/test/Country=INDIA/ pattern = '[^\/]*';
+-------------------------------------------------------------------+
| name |
+-------------------------------------------------------------------+
| s3://mysecretbucketname/test/test/Country=INDIA/data_0_0_0.csv.gz |
+-------------------------------------------------------------------+