diff --git a/folium/features.py b/folium/features.py
index 1c18f426d..f44840dc1 100644
--- a/folium/features.py
+++ b/folium/features.py
@@ -1718,7 +1718,6 @@ class DivIcon(MacroElement):
         """
         {% macro script(this, kwargs) %}
             var {{ this.get_name() }} = L.divIcon({{ this.options|tojavascript }});
-            {{this._parent.get_name()}}.setIcon({{this.get_name()}});
         {% endmacro %}
         """
     )  # noqa
@@ -1895,7 +1894,6 @@ class CustomIcon(Icon):
         """
         {% macro script(this, kwargs) %}
         var {{ this.get_name() }} = L.icon({{ this.options|tojavascript }});
-        {{ this._parent.get_name() }}.setIcon({{ this.get_name() }});
         {% endmacro %}
         """
     )  # noqa
diff --git a/folium/map.py b/folium/map.py
index e92290671..f2b8aa5ae 100644
--- a/folium/map.py
+++ b/folium/map.py
@@ -382,7 +382,9 @@ class SetIcon(MacroElement):
         """
         )
 
-        def __init__(self, marker: "Marker", icon: "Icon"):
+        def __init__(
+            self, marker: "Marker", icon: Union[Icon, "CustomIcon", "DivIcon"]
+        ):
             super().__init__()
             self._name = "SetIcon"
             self.marker = marker