diff --git a/pandas/io/pytables.py b/pandas/io/pytables.py
index 8afbd293a095b..f6fd39308e0cc 100644
--- a/pandas/io/pytables.py
+++ b/pandas/io/pytables.py
@@ -1634,7 +1634,6 @@ def __init__(
         self.start = start
         self.stop = stop
 
-        self.coordinates = None
         if iterator or chunksize is not None:
             if chunksize is None:
                 chunksize = 100000
@@ -1644,14 +1643,12 @@ def __init__(
 
         self.auto_close = auto_close
 
-    def __iter__(self):
-
-        # iterate
+    def iter_result(self, coordinates):
         current = self.start
         while current < self.stop:
 
             stop = min(current + self.chunksize, self.stop)
-            value = self.func(None, None, self.coordinates[current:stop])
+            value = self.func(None, None, coordinates[current:stop])
             current = stop
             if value is None or not len(value):
                 continue
@@ -1671,9 +1668,8 @@ def get_result(self, coordinates: bool = False):
             if not self.s.is_table:
                 raise TypeError("can only use an iterator or chunksize on a table")
 
-            self.coordinates = self.s.read_coordinates(where=self.where)
-
-            return self
+            coordinates = self.s.read_coordinates(where=self.where)
+            return self.iter_result(coordinates)
 
         # if specified read via coordinates (necessary for multiple selections
         if coordinates:
diff --git a/pandas/tests/io/pytables/test_store.py b/pandas/tests/io/pytables/test_store.py
index d79280f9ea494..d7a4579a2f4e9 100644
--- a/pandas/tests/io/pytables/test_store.py
+++ b/pandas/tests/io/pytables/test_store.py
@@ -52,7 +52,6 @@
 )
 
 from pandas.io import pytables as pytables  # noqa: E402 isort:skip
-from pandas.io.pytables import TableIterator  # noqa: E402 isort:skip
 
 
 _default_compressor = "blosc"
@@ -4528,10 +4527,8 @@ def test_read_hdf_iterator(self, setup_path):
             df.to_hdf(path, "df", mode="w", format="t")
             direct = read_hdf(path, "df")
             iterator = read_hdf(path, "df", iterator=True)
-            assert isinstance(iterator, TableIterator)
             indirect = next(iterator.__iter__())
             tm.assert_frame_equal(direct, indirect)
-            iterator.store.close()
 
     def test_read_hdf_errors(self, setup_path):
         df = DataFrame(np.random.rand(4, 5), index=list("abcd"), columns=list("ABCDE"))