I was looking for solution for the same and I found a way to do this
transparent statusbar icons
Inside your Widget build(BuildContext context){ } just add below lines,,
While using dark theme, it will make statusbar like transparent and icons to white
SystemChrome.setSystemUIOverlayStyle(SystemUiOverlayStyle.dark.copyWith(
statusBarIconBrightness: Brightness.light,
statusBarBrightness: Brightness.light));
and the same goes for light theme
SystemChrome.setSystemUIOverlayStyle(SystemUiOverlayStyle.light.copyWith(
statusBarIconBrightness: Brightness.dark,
statusBarBrightness: Brightness.dark));
I am not sure if you are looking for this or something different but this works perfectly fine for me