diff --git a/airflow/utils/operator_helpers.py b/airflow/utils/operator_helpers.py
index 6e5e03d8d163..a259b455776b 100644
--- a/airflow/utils/operator_helpers.py
+++ b/airflow/utils/operator_helpers.py
@@ -17,16 +17,21 @@
 # under the License.
 from __future__ import annotations
 
+import inspect
 import logging
 from datetime import datetime
-from typing import TYPE_CHECKING, Any, Callable, Collection, Mapping, TypeVar
+from typing import TYPE_CHECKING, Any, Callable, Collection, Mapping, Protocol, TypeVar
 
 from airflow import settings
+from airflow.assets.metadata import Metadata
+from airflow.typing_compat import ParamSpec
 from airflow.utils.context import Context, lazy_mapping_from_context
+from airflow.utils.types import NOTSET
 
 if TYPE_CHECKING:
     from airflow.utils.context import OutletEventAccessors
 
+P = ParamSpec("P")
 R = TypeVar("R")
 
 DEFAULT_FORMAT_PREFIX = "airflow.ctx."
@@ -225,7 +230,17 @@ def kwargs_func(*args, **kwargs):
     return kwargs_func
 
 
-class ExecutionCallableRunner:
+class _ExecutionCallableRunner(Protocol):
+    @staticmethod
+    def run(*args, **kwargs): ...
+
+
+def ExecutionCallableRunner(
+    func: Callable[P, R],
+    outlet_events: OutletEventAccessors,
+    *,
+    logger: logging.Logger,
+) -> _ExecutionCallableRunner:
     """
     Run an execution callable against a task context and given arguments.
 
@@ -234,45 +249,42 @@ class ExecutionCallableRunner:
     the generator is exhausted here, with the yielded values getting fed back
     into the task context automatically for execution.
 
+    This convoluted implementation of inner class with closure is so *all*
+    arguments passed to ``run()`` can be forwarded to the wrapped function. This
+    is particularly important for the argument "self", which some use cases
+    need to receive. This is not possible if this is implemented as a normal
+    class, where "self" needs to point to the ExecutionCallableRunner object.
+
+    The function name violates PEP 8 due to backward compatibility. This was
+    implemented as a class previously.
+
     :meta private:
     """
 
-    def __init__(
-        self,
-        func: Callable,
-        outlet_events: OutletEventAccessors,
-        *,
-        logger: logging.Logger | None,
-    ) -> None:
-        self.func = func
-        self.outlet_events = outlet_events
-        self.logger = logger or logging.getLogger(__name__)
-
-    def run(self, *args, **kwargs) -> Any:
-        import inspect
-
-        from airflow.assets.metadata import Metadata
-        from airflow.utils.types import NOTSET
+    class _ExecutionCallableRunnerImpl:
+        @staticmethod
+        def run(*args: P.args, **kwargs: P.kwargs) -> R:
+            if not inspect.isgeneratorfunction(func):
+                return func(*args, **kwargs)
 
-        if not inspect.isgeneratorfunction(self.func):
-            return self.func(*args, **kwargs)
+            result: Any = NOTSET
 
-        result: Any = NOTSET
+            def _run():
+                nonlocal result
+                result = yield from func(*args, **kwargs)
 
-        def _run():
-            nonlocal result
-            result = yield from self.func(*args, **kwargs)
+            for metadata in _run():
+                if isinstance(metadata, Metadata):
+                    outlet_events[metadata.uri].extra.update(metadata.extra)
 
-        for metadata in _run():
-            if isinstance(metadata, Metadata):
-                self.outlet_events[metadata.uri].extra.update(metadata.extra)
+                    if metadata.alias_name:
+                        outlet_events[metadata.alias_name].add(metadata.uri, extra=metadata.extra)
 
-                if metadata.alias_name:
-                    self.outlet_events[metadata.alias_name].add(metadata.uri, extra=metadata.extra)
+                    continue
+                logger.warning("Ignoring unknown data of %r received from task", type(metadata))
+                if logger.isEnabledFor(logging.DEBUG):
+                    logger.debug("Full yielded value: %r", metadata)
 
-                continue
-            self.logger.warning("Ignoring unknown data of %r received from task", type(metadata))
-            if self.logger.isEnabledFor(logging.DEBUG):
-                self.logger.debug("Full yielded value: %r", metadata)
+            return result
 
-        return result
+    return _ExecutionCallableRunnerImpl