You can use PreferredSize:
class MyApp extends StatelessWidget {
@override
Widget build(BuildContext context) {
return MaterialApp(
title: 'Example',
home: Scaffold(
appBar: PreferredSize(
preferredSize: Size.fromHeight(50.0), // here the desired height
child: AppBar(
// ...
)
),
body: // ...
)
);
}
}