diff --git a/sqlglot/dialects/snowflake.py b/sqlglot/dialects/snowflake.py
index 18328902df..0925238a97 100644
--- a/sqlglot/dialects/snowflake.py
+++ b/sqlglot/dialects/snowflake.py
@@ -105,7 +105,7 @@ def _parse_date_part(self: parser.Parser) -> t.Optional[exp.Expression]:
             scale = None
 
         ts = self.expression(exp.Cast, this=expression, to=exp.DataType.build("TIMESTAMP"))
-        to_unix = self.expression(exp.TimeToUnix, this=ts)
+        to_unix: exp.Expression = self.expression(exp.TimeToUnix, this=ts)
 
         if scale:
             to_unix = exp.Mul(this=to_unix, expression=exp.Literal.number(scale))
diff --git a/sqlglot/dialects/teradata.py b/sqlglot/dialects/teradata.py
index 3d43793db5..2a4c43dce5 100644
--- a/sqlglot/dialects/teradata.py
+++ b/sqlglot/dialects/teradata.py
@@ -1,7 +1,14 @@
 from __future__ import annotations
 
+import typing as t
+
 from sqlglot import exp, generator, parser, tokens
-from sqlglot.dialects.dialect import Dialect, max_or_greatest, min_or_least
+from sqlglot.dialects.dialect import (
+    Dialect,
+    format_time_lambda,
+    max_or_greatest,
+    min_or_least,
+)
 from sqlglot.tokens import TokenType
 
 
@@ -115,6 +122,14 @@ def _parse_rangen(self):
 
             return self.expression(exp.RangeN, this=this, expressions=expressions, each=each)
 
+        def _parse_cast(self, strict: bool) -> exp.Expression:
+            cast = t.cast(exp.Cast, super()._parse_cast(strict))
+            if cast.to.this == exp.DataType.Type.DATE and self._match(TokenType.FORMAT):
+                return format_time_lambda(exp.TimeToStr, "teradata")(
+                    [cast.this, self._parse_string()]
+                )
+            return cast
+
     class Generator(generator.Generator):
         TYPE_MAPPING = {
             **generator.Generator.TYPE_MAPPING,  # type: ignore
@@ -130,6 +145,7 @@ class Generator(generator.Generator):
             **generator.Generator.TRANSFORMS,
             exp.Max: max_or_greatest,
             exp.Min: min_or_least,
+            exp.TimeToStr: lambda self, e: f"CAST({self.sql(e, 'this')} AS DATE FORMAT {self.format_time(e)})",
             exp.ToChar: lambda self, e: self.function_fallback_sql(e),
         }
 
diff --git a/sqlglot/parser.py b/sqlglot/parser.py
index 36b6adcbba..f251f02097 100644
--- a/sqlglot/parser.py
+++ b/sqlglot/parser.py
@@ -18,6 +18,8 @@
 
 logger = logging.getLogger("sqlglot")
 
+E = t.TypeVar("E", bound=exp.Expression)
+
 
 def parse_var_map(args: t.Sequence) -> exp.Expression:
     keys = []
@@ -927,8 +929,8 @@ def raise_error(self, message: str, token: t.Optional[Token] = None) -> None:
         self.errors.append(error)
 
     def expression(
-        self, exp_class: t.Type[exp.Expression], comments: t.Optional[t.List[str]] = None, **kwargs
-    ) -> exp.Expression:
+        self, exp_class: t.Type[E], comments: t.Optional[t.List[str]] = None, **kwargs
+    ) -> E:
         """
         Creates a new, validated Expression.
 
@@ -984,7 +986,7 @@ def _retreat(self, index: int) -> None:
         if index != self._index:
             self._advance(index - self._index)
 
-    def _parse_command(self) -> exp.Expression:
+    def _parse_command(self) -> exp.Command:
         return self.expression(exp.Command, this=self._prev.text, expression=self._parse_string())
 
     def _parse_comment(self, allow_exists: bool = True) -> exp.Expression:
@@ -1029,7 +1031,7 @@ def _parse_statement(self) -> t.Optional[exp.Expression]:
         self._parse_query_modifiers(expression)
         return expression
 
-    def _parse_drop(self) -> t.Optional[exp.Expression]:
+    def _parse_drop(self) -> t.Optional[exp.Drop | exp.Command]:
         start = self._prev
         temporary = self._match(TokenType.TEMPORARY)
         materialized = self._match(TokenType.MATERIALIZED)
@@ -4065,7 +4067,7 @@ def _parse_merge(self) -> exp.Expression:
             if self._match(TokenType.INSERT):
                 _this = self._parse_star()
                 if _this:
-                    then = self.expression(exp.Insert, this=_this)
+                    then: t.Optional[exp.Expression] = self.expression(exp.Insert, this=_this)
                 else:
                     then = self.expression(
                         exp.Insert,
diff --git a/tests/dialects/test_teradata.py b/tests/dialects/test_teradata.py
index 5d4f7db08c..03eba44f1e 100644
--- a/tests/dialects/test_teradata.py
+++ b/tests/dialects/test_teradata.py
@@ -71,3 +71,15 @@ def test_datatype(self):
         )
 
         self.validate_identity("CREATE TABLE z (a SYSUDTLIB.INT)")
+
+    def test_cast(self):
+        self.validate_all(
+            "CAST('1992-01' AS DATE FORMAT 'YYYY-DD')",
+            write={
+                "teradata": "CAST('1992-01' AS DATE FORMAT 'YYYY-DD')",
+                "databricks": "DATE_FORMAT('1992-01', 'YYYY-DD')",
+                "mysql": "DATE_FORMAT('1992-01', 'YYYY-DD')",
+                "spark": "DATE_FORMAT('1992-01', 'YYYY-DD')",
+                "": "TIME_TO_STR('1992-01', 'YYYY-DD')",
+            },
+        )