diff --git a/mypy/errorcodes.py b/mypy/errorcodes.py
index d9e11a044a18..3ae079f08fda 100644
--- a/mypy/errorcodes.py
+++ b/mypy/errorcodes.py
@@ -135,6 +135,7 @@ def __str__(self) -> str:
 
 # Syntax errors are often blocking.
 SYNTAX: Final = ErrorCode("syntax", "Report syntax errors", "General")
+SLICE_SYNTAX: Final = ErrorCode("slice-syntax", "Report slice syntax errors", "General")
 
 # This is a catch-all for remaining uncategorized errors.
 MISC: Final = ErrorCode("misc", "Miscellaneous other checks", "General")
diff --git a/mypy/errors.py b/mypy/errors.py
index 3a0e0e14d8b3..0917ac816af7 100644
--- a/mypy/errors.py
+++ b/mypy/errors.py
@@ -374,6 +374,16 @@ def add_error_info(self, info: ErrorInfo) -> None:
                         return
             if file in self.ignored_files:
                 return
+            if (
+                not self.ignored_lines
+                and info.code
+                and self.is_error_code_enabled(info.code) is False
+            ):
+                # We also might want to ignore some errors during `fastparse`.
+                # At that moment `ignored_lines` might not be ready,
+                # so, we only check for specific error codes.
+                # For example, `Dict[{str: int}]` can be ignored this way.
+                return
         if info.only_once:
             if info.message in self.only_once_messages:
                 return
diff --git a/mypy/fastparse.py b/mypy/fastparse.py
index a9c3bed9d5a7..ba5a8ebaa395 100644
--- a/mypy/fastparse.py
+++ b/mypy/fastparse.py
@@ -1359,9 +1359,13 @@ def parent(self) -> Optional[AST]:
             return None
         return self.node_stack[-2]
 
-    def fail(self, msg: str, line: int, column: int) -> None:
+    def fail(self, msg: str, line: int, column: int,
+             blocker: bool = True,
+             code: Optional[codes.ErrorCode] = None) -> None:
+        if code is None:
+            code = codes.SYNTAX
         if self.errors:
-            self.errors.report(line, column, msg, blocker=True, code=codes.SYNTAX)
+            self.errors.report(line, column, msg, blocker=blocker, code=code)
 
     def note(self, msg: str, line: int, column: int) -> None:
         if self.errors:
@@ -1562,12 +1566,14 @@ def visit_Subscript(self, n: ast3.Subscript) -> Type:
             if (isinstance(sliceval, ast3.Slice) or
                 (isinstance(sliceval, ast3.Tuple) and
                  any(isinstance(x, ast3.Slice) for x in sliceval.elts))):
-                self.fail(INVALID_SLICE_ERROR, self.line, getattr(n, 'col_offset', -1))
+                self.fail(INVALID_SLICE_ERROR, self.line, getattr(n, 'col_offset', -1),
+                          blocker=False, code=codes.SLICE_SYNTAX)
                 return AnyType(TypeOfAny.from_error)
         else:
             # Python 3.8 or earlier use a different AST structure for subscripts
             if not isinstance(n.slice, Index):
-                self.fail(INVALID_SLICE_ERROR, self.line, getattr(n, 'col_offset', -1))
+                self.fail(INVALID_SLICE_ERROR, self.line, getattr(n, 'col_offset', -1),
+                          blocker=False, code=codes.SLICE_SYNTAX)
                 return AnyType(TypeOfAny.from_error)
             sliceval = n.slice.value
 
diff --git a/test-data/unit/check-errorcodes.test b/test-data/unit/check-errorcodes.test
index 207c2d9b99c1..6a09a49081bd 100644
--- a/test-data/unit/check-errorcodes.test
+++ b/test-data/unit/check-errorcodes.test
@@ -897,3 +897,24 @@ lst: List[int] = []
 if lst:
     pass
 [builtins fixtures/list.pyi]
+
+[case testSliceAnnotatedErrorDisabled39]
+# flags: --python-version 3.9 --disable-error-code slice-syntax
+a: Annotated[int, 1:2]
+b: Dict[int, x:y]
+c: Dict[x:y]
+
+reveal_type(a)  # N: Revealed type is "Any"
+reveal_type(b)  # N: Revealed type is "Any"
+reveal_type(c)  # N: Revealed type is "Any"
+
+[case testSliceAnnotatedErrorDisabled38]
+# flags: --python-version 3.8 --disable-error-code slice-syntax
+
+a: Annotated[int, 1:2]
+b: Dict[int, x:y]
+c: Dict[x:y]
+
+reveal_type(a)  # N: Revealed type is "Any"
+reveal_type(b)  # N: Revealed type is "Any"
+reveal_type(c)  # N: Revealed type is "Any"
diff --git a/test-data/unit/check-fastparse.test b/test-data/unit/check-fastparse.test
index 03aa1e4c3214..0766b46c6824 100644
--- a/test-data/unit/check-fastparse.test
+++ b/test-data/unit/check-fastparse.test
@@ -321,6 +321,7 @@ x @= 1
 
 from typing import Dict
 x = None # type: Dict[x: y]
+[builtins fixtures/dict.pyi]
 [out]
 main:3: error: Slice usage in type annotation is invalid