diff --git a/crates/polars-io/src/parquet/read/predicates.rs b/crates/polars-io/src/parquet/read/predicates.rs
index a3269341c1a3..5cadd92cef8a 100644
--- a/crates/polars-io/src/parquet/read/predicates.rs
+++ b/crates/polars-io/src/parquet/read/predicates.rs
@@ -25,12 +25,12 @@ pub(crate) fn collect_statistics(
     let stats = schema
         .iter_values()
         .map(|field| {
-            let iter = md.columns_under_root_iter(&field.name).unwrap();
-
-            Ok(if iter.len() == 0 {
-                ColumnStats::new(field.into(), None, None, None)
-            } else {
-                ColumnStats::from_arrow_stats(deserialize(field, iter)?, field)
+            let iter = md.columns_under_root_iter(&field.name);
+            Ok(match iter {
+                Some(x) if { x.len() > 0 } => {
+                    ColumnStats::from_arrow_stats(deserialize(field, x)?, field)
+                },
+                _ => ColumnStats::new(field.into(), None, None, None),
             })
         })
         .collect::<PolarsResult<Vec<_>>>()?;
diff --git a/py-polars/tests/unit/io/test_parquet.py b/py-polars/tests/unit/io/test_parquet.py
index 71061fa6a4d5..3e335dc0f4f9 100644
--- a/py-polars/tests/unit/io/test_parquet.py
+++ b/py-polars/tests/unit/io/test_parquet.py
@@ -2710,3 +2710,24 @@ def test_boolean_slice_pushdown_20314() -> None:
 
     f.seek(0)
     assert pl.scan_parquet(f).slice(2, 1).collect().item()
+
+
+def test_allow_missing_columns_predicate_pushdown_20361() -> None:
+    f1 = io.BytesIO()
+    f2 = io.BytesIO()
+
+    pl.DataFrame({"a": [1, 2], "b": [1, 3], "c": [False, False]}).write_parquet(f1)
+    pl.DataFrame({"a": [4, 5], "c": [True, False]}).write_parquet(f2)
+
+    f1.seek(0)
+    f2.seek(0)
+
+    df = (
+        pl.scan_parquet([f1, f2], allow_missing_columns=True)  # type: ignore[arg-type]
+        .filter((pl.col.a == pl.col.b) | pl.col.c)
+        .collect()
+    )
+
+    assert_frame_equal(
+        df, pl.DataFrame({"a": [1, 4], "b": [1, None], "c": [False, True]})
+    )