First, import services package:
import 'package:flutter/services.dart';
Next, simply put this in the build function of your App:
SystemChrome.setSystemUIOverlayStyle(SystemUiOverlayStyle(
statusBarColor: Colors.blue, //or set color with: Color(0xFF0000FF)
));
Additionally, you can set useful properties like: statusBarIconBrightness, systemNavigationBarColor or systemNavigationBarDividerColor
If you prefer a more flutter/widget way of doing the same thing, consider using the AnnotatedRegion<SystemUiOverlayStyle> widget.
The value: property can be set to a SystemUiOverlayStyle() object containing the same properties as shown above.
For more infos, head over to the API Docs