Forgot about 'WITH NAME …' statement part.

dbms/src/Parsers/ASTAlterQuery.cpp

@@ -130,7 +130,13 @@ void ASTAlterCommand::formatImpl(
     }
     else if (type == ASTAlterCommand::FREEZE_ALL)
     {
-        // TODO: implement this.
+        settings.ostr << (settings.hilite ? hilite_keyword : "") << indent_str << "FREEZE";
+
+        if (!with_name.empty())
+        {
+            settings.ostr << " " << (settings.hilite ? hilite_keyword : "") << "WITH NAME" << (settings.hilite ? hilite_none : "")
+                          << " " << std::quoted(with_name, '\'');
+        }
     }
     else if (type == ASTAlterCommand::DELETE)
     {

dbms/src/Parsers/ParserAlterQuery.cpp

@@ -183,6 +183,19 @@ bool ParserAlterCommand::parseImpl(Pos & pos, ASTPtr & node, Expected & expected
         }
         else
         {
+            /// WITH NAME 'name' - place local backup to directory with specified name
+            if (s_with.ignore(pos, expected))
+            {
+                if (!s_name.ignore(pos, expected))
+                    return false;
+
+                ASTPtr ast_with_name;
+                if (!parser_string_literal.parse(pos, ast_with_name, expected))
+                    return false;
+
+                command->with_name = typeid_cast<const ASTLiteral &>(*ast_with_name).value.get<const String &>();
+            }
+
             command->type = ASTAlterCommand::FREEZE_ALL;
         }
     }

dbms/src/Parsers/ParserAlterQuery.h

@@ -15,7 +15,7 @@ namespace DB
   *     [MODIFY PRIMARY KEY (a, b, c...)]
   *     [DROP|DETACH|ATTACH PARTITION|PART partition, ...]
   *     [FETCH PARTITION partition FROM ...]
-  *     [FREEZE [PARTITION]]
+  *     [FREEZE [PARTITION] [WITH NAME name]]
   *     [DELETE WHERE ...]
   *     [UPDATE col_name = expr, ... WHERE ...]
   */