Solution 1:

you have two choices :

1. force a locale ( and direction ) on all devices

-- method 1: with localization

add flutter_localizations package to your pubspec.yml

dependencies:
  flutter:
    sdk: flutter
  flutter_localizations:
    sdk: flutter

then

import 'package:flutter/material.dart';
import 'package:flutter_localizations/flutter_localizations.dart';

MaterialApp(
  localizationsDelegates: [
    GlobalCupertinoLocalizations.delegate,
    GlobalMaterialLocalizations.delegate,
    GlobalWidgetsLocalizations.delegate,
  ],
  supportedLocales: [
    Locale("fa", "IR"), // OR Locale('ar', 'AE') OR Other RTL locales
  ],
  locale: Locale("fa", "IR") // OR Locale('ar', 'AE') OR Other RTL locales,
  .
  .
  .
);

-- method 2: without localization

MaterialApp(
  .
  .
  .
  builder: (context, child) {
    return Directionality(
      textDirection: TextDirection.rtl,
      child: child,
    );
  },
  .
  .
  .
);

2. set layout direction according to device locale ( if user phone locale is a RTL language and exist in supportedLocales, your app run in RTL mode, otherwise your app is LTR )

add flutter_localizations package to your pubspec.yml

dependencies:
  flutter:
    sdk: flutter
  flutter_localizations:
    sdk: flutter

then

import 'package:flutter/material.dart';
import 'package:flutter_localizations/flutter_localizations.dart';

MaterialApp(
  localizationsDelegates: [
    GlobalCupertinoLocalizations.delegate,
    GlobalMaterialLocalizations.delegate,
    GlobalWidgetsLocalizations.delegate,
  ],
  supportedLocales: [
    Locale("en", "US"),
    Locale("fa", "IR"), // OR Locale('ar', 'AE') OR Other RTL locales
  ],
  .
  .
  .
);

note : rtl languages in flutter are:

[
  'ar', // Arabic
  'fa', // Farsi
  'he', // Hebrew
  'ps', // Pashto
  'ur', // Urdu
];

Solution 2:

You need to create a Builder and pass it the layout direction using TextDirection.rtl

new MaterialApp(
          title: 'Flutter RTL',
          color: Colors.grey,
          builder: (BuildContext context, Widget child) {
              return new Directionality(
                textDirection: TextDirection.rtl,
                child: new Builder(
                  builder: (BuildContext context) {
                    return new MediaQuery(
                      data: MediaQuery.of(context).copyWith(
                            textScaleFactor: 1.0,
                          ),
                      child: child,
                    );
                  },
                ),
              );
            },
          .
          .
          .
        );