diff --git a/ibis/backends/polars/compiler.py b/ibis/backends/polars/compiler.py
index 7bc9c9f14715..20f5ff15749b 100644
--- a/ibis/backends/polars/compiler.py
+++ b/ibis/backends/polars/compiler.py
@@ -1021,7 +1021,11 @@ def array_flatten(op, **kw):
         .then(None)
         .when(result.list.len() == 0)
         .then([])
-        .otherwise(result.flatten())
+        # polars doesn't have an efficient API (yet?) for removing one level of
+        # nesting from an array so we use elementwise evaluation
+        #
+        # https://github.com/ibis-project/ibis/issues/10135
+        .otherwise(result.list.eval(pl.element().flatten()))
     )
 
 
diff --git a/ibis/backends/tests/errors.py b/ibis/backends/tests/errors.py
index cc21b1582850..436f74dab71e 100644
--- a/ibis/backends/tests/errors.py
+++ b/ibis/backends/tests/errors.py
@@ -103,6 +103,7 @@
     TrinoUserError = None
 
 try:
+    from psycopg2.errors import ArraySubscriptError as PsycoPg2ArraySubscriptError
     from psycopg2.errors import DivisionByZero as PsycoPg2DivisionByZero
     from psycopg2.errors import IndeterminateDatatype as PsycoPg2IndeterminateDatatype
     from psycopg2.errors import InternalError_ as PsycoPg2InternalError
@@ -118,7 +119,7 @@
         PsycoPg2InvalidTextRepresentation
     ) = PsycoPg2DivisionByZero = PsycoPg2InternalError = PsycoPg2ProgrammingError = (
         PsycoPg2OperationalError
-    ) = PsycoPg2UndefinedObject = None
+    ) = PsycoPg2UndefinedObject = PsycoPg2ArraySubscriptError = None
 
 try:
     from MySQLdb import NotSupportedError as MySQLNotSupportedError
diff --git a/ibis/backends/tests/test_array.py b/ibis/backends/tests/test_array.py
index 3b440feb2293..cba8ae64d1aa 100644
--- a/ibis/backends/tests/test_array.py
+++ b/ibis/backends/tests/test_array.py
@@ -21,6 +21,7 @@
     GoogleBadRequest,
     MySQLOperationalError,
     PolarsComputeError,
+    PsycoPg2ArraySubscriptError,
     PsycoPg2IndeterminateDatatype,
     PsycoPg2InternalError,
     PsycoPg2ProgrammingError,
@@ -1006,6 +1007,11 @@ def flatten_data():
                     reason="Arrays are never nullable",
                     raises=AssertionError,
                 ),
+                pytest.mark.notyet(
+                    ["polars"],
+                    reason="flattened empty arrays incorrectly insert a null",
+                    raises=AssertionError,
+                ),
             ],
         ),
     ],
@@ -1557,3 +1563,19 @@ def test_array_agg_bool(con, data, agg, baseline_func):
     result = [x if pd.notna(x) else None for x in result]
     expected = [baseline_func(x) for x in df.x]
     assert result == expected
+
+
+@pytest.mark.notyet(
+    ["postgres"],
+    raises=PsycoPg2ArraySubscriptError,
+    reason="all dimensions must match in size",
+)
+@pytest.mark.notimpl(["risingwave", "flink"], raises=com.OperationNotDefinedError)
+def test_flatten(con):
+    t = ibis.memtable(
+        [{"arr": [[1, 5, 7], [3, 4]]}], schema={"arr": "array<array<int64>>"}
+    )
+    expr = t.arr.flatten().name("result")
+    result = con.execute(expr)
+    expected = pd.Series([[1, 5, 7, 3, 4]], name="result")
+    tm.assert_series_equal(result, expected)