diff --git a/myst_parser/config/main.py b/myst_parser/config/main.py
index 2b088b56..c1e65588 100644
--- a/myst_parser/config/main.py
+++ b/myst_parser/config/main.py
@@ -307,6 +307,20 @@ def __repr__(self) -> str:
         },
     )
 
+    fully_normalize_name_slug_func: Callable[[str], str] | None = dc.field(
+        default=None,
+        metadata={
+            "validator": check_heading_slug_func,
+            "help": (
+                "Function for normalizing text to valid html id value, "
+                "or a python import path e.g. `my_package.my_module.my_function` "
+                "It can be used to transliterate any language to valid  stable html identifiers"
+            ),
+            "global_only": True,
+            "doc_type": "None | Callable[[str], str] | str",
+        },
+    )
+
     html_meta: dict[str, str] = dc.field(
         default_factory=dict,
         metadata={
diff --git a/myst_parser/mdit_to_docutils/base.py b/myst_parser/mdit_to_docutils/base.py
index 3778dd31..d82c068b 100644
--- a/myst_parser/mdit_to_docutils/base.py
+++ b/myst_parser/mdit_to_docutils/base.py
@@ -772,7 +772,11 @@ def generate_heading_target(
         # during ref resolution, and is not stored in the document.
         # TODO this is purely to mimic docutils, but maybe we don't need it?
         # (since we have the slugify logic below)
-        name = nodes.fully_normalize_name(implicit_text)
+
+        if self.md_config.fully_normalize_name_slug_func is not None:
+            name = self.md_config.fully_normalize_name_slug_func(implicit_text)
+        else:
+            name = nodes.fully_normalize_name(implicit_text)
         node["names"].append(name)
         self.document.note_implicit_target(node, node)
 
diff --git a/myst_parser/parsers/docutils_.py b/myst_parser/parsers/docutils_.py
index e17de44b..73acf08c 100644
--- a/myst_parser/parsers/docutils_.py
+++ b/myst_parser/parsers/docutils_.py
@@ -139,7 +139,10 @@ def _attr_to_optparse_option(at: Field, default: Any) -> tuple[dict[str, Any], s
             "metavar": "<boolean>",
             "validator": frontend.validate_boolean,
         }, str(default)
-    if at.type is str or at.name == "heading_slug_func":
+    if at.type is str or at.name in (
+        "heading_slug_func",
+        "fully_normalize_name_slug_func",
+    ):
         return {
             "metavar": "<str>",
         }, f"(default: '{default}')"