diff --git a/adlfs/spec.py b/adlfs/spec.py
index 13640a3..f074d54 100644
--- a/adlfs/spec.py
+++ b/adlfs/spec.py
@@ -1248,7 +1248,7 @@ async def _rm_files(
         for file in file_paths:
             self.invalidate_cache(self._parent(file))
 
-    sync_wrapper(_rm_files)
+    rm_files = sync_wrapper(_rm_files)
 
     async def _separate_directory_markers_for_non_empty_directories(
         self, file_paths: typing.Iterable[str]
diff --git a/adlfs/tests/test_spec.py b/adlfs/tests/test_spec.py
index f497c7e..5bec945 100644
--- a/adlfs/tests/test_spec.py
+++ b/adlfs/tests/test_spec.py
@@ -9,6 +9,8 @@
 import numpy as np
 import pandas as pd
 import pytest
+from azure.core.exceptions import ResourceNotFoundError
+from azure.storage.blob.aio import BlobServiceClient as AIOBlobServiceClient
 from packaging.version import parse as parse_version
 from pandas.testing import assert_frame_equal
 
@@ -2045,3 +2047,70 @@ def test_open_file_x(storage: azure.storage.blob.BlobServiceClient, tmpdir):
         with fs.open("data/afile", "xb") as f:
             pass
     assert fs.cat_file("data/afile") == b"data"
+
+
+def test_rm_files(storage):
+    fs = AzureBlobFileSystem(
+        account_name=storage.account_name,
+        connection_string=CONN_STR,
+    )
+    file_list = [
+        "top_file.txt",
+        "root/a/file.txt",
+        "root/a1/file1.txt",
+    ]
+
+    fs.rm_files("data", file_list)
+    for file in file_list:
+        with pytest.raises(FileNotFoundError):
+            fs.ls(f"data/{file}")
+
+
+def test_rm_files_nonempty_directory_marker(storage):
+    fs = AzureBlobFileSystem(
+        account_name=storage.account_name,
+        connection_string=CONN_STR,
+    )
+
+    with pytest.raises(ResourceNotFoundError):
+        fs.rm_files("data", ["root/a/"])
+
+    assert fs.ls("data/root/a/") == ["data/root/a/file.txt"]
+
+
+def test_rm_files_delete_directory_markers(storage, mocker):
+    mock_container = mocker.AsyncMock()
+    mock_container.delete_blob = mocker.AsyncMock(return_value=None)
+    mock_get_container_client = mocker.AsyncMock()
+    mock_get_container_client.__aenter__.return_value = mock_container
+    mock_get_container_client.__aexit__.return_value = None
+    mocker.patch.object(
+        AIOBlobServiceClient,
+        "get_container_client",
+        return_value=mock_get_container_client,
+    )
+    fs = AzureBlobFileSystem(
+        account_name=storage.account_name,
+        connection_string=CONN_STR,
+    )
+
+    files = [blob.name for blob in storage.get_container_client("data").list_blobs()]
+    directory_markers = [
+        "root/a/",
+        "root/a1/",
+        "root/b/",
+        "root/c/",
+        "root/d/",
+        "root/e+f/",
+    ]
+
+    mocker.patch.object(
+        fs,
+        "_separate_directory_markers_for_non_empty_directories",
+        return_value=(files, directory_markers),
+    )
+
+    fs.rm_files("data", files)
+    expected_calls = [mocker.call(dir) for dir in reversed(directory_markers)]
+    actual_calls = mock_container.delete_blob.call_args_list[-len(directory_markers) :]
+    assert actual_calls == expected_calls