diff --git a/scripts/ci/analyze_e2e_flaky_tests.py b/scripts/ci/analyze_e2e_flaky_tests.py
index bf5aef53ffadb..c56fb7e48ebfc 100755
--- a/scripts/ci/analyze_e2e_flaky_tests.py
+++ b/scripts/ci/analyze_e2e_flaky_tests.py
@@ -65,8 +65,13 @@ def escape_slack_mrkdwn(text: str) -> str:
 
 
 def gh_api(endpoint: str, **kwargs: str) -> str | None:
-    """Call GitHub API via gh CLI."""
-    cmd = ["gh", "api", endpoint]
+    """Call GitHub API via gh CLI.
+
+    Forces ``--method GET``: ``gh api`` defaults to POST whenever ``-f``
+    parameters are present, which makes read-only endpoints (such as the
+    workflow runs list) return 404.
+    """
+    cmd = ["gh", "api", "--method", "GET", endpoint]
     for key, value in kwargs.items():
         cmd.extend(["-f", f"{key}={value}"])
     result = subprocess.run(cmd, capture_output=True, text=True, check=False)
diff --git a/scripts/tests/ci/test_analyze_e2e_flaky_tests.py b/scripts/tests/ci/test_analyze_e2e_flaky_tests.py
index ff7097c7aeeca..fcd56d15adae7 100644
--- a/scripts/tests/ci/test_analyze_e2e_flaky_tests.py
+++ b/scripts/tests/ci/test_analyze_e2e_flaky_tests.py
@@ -17,8 +17,10 @@
 from __future__ import annotations
 
 import importlib.util
+import subprocess
 import sys
 from pathlib import Path
+from unittest.mock import patch
 
 import pytest
 
@@ -37,6 +39,17 @@ def analyze_module():
     return module
 
 
+class TestGhApi:
+    def test_forces_get_method(self, analyze_module):
+        """`gh api` defaults to POST when -f is passed; we must force GET to avoid 404."""
+        completed = subprocess.CompletedProcess(args=[], returncode=0, stdout="{}", stderr="")
+        with patch.object(subprocess, "run", return_value=completed) as mock_run:
+            analyze_module.gh_api("repos/apache/airflow/actions/workflows/x/runs", branch="main")
+        args = mock_run.call_args[0][0]
+        assert "--method" in args
+        assert args[args.index("--method") + 1] == "GET"
+
+
 class TestEscapeSlackMrkdwn:
     def test_escapes_ampersand(self, analyze_module):
         assert analyze_module.escape_slack_mrkdwn("a & b") == "a & b"