I'm using a TextField and have set its alignment to center.
body: new Container( color: Colors.blue, child: new Center( child: new TextField( decoration: new InputDecoration( hintText: "Anything goes here" ), textAlign: TextAlign.center, ), ), ),

However, I have noticed that after I enter the first character, the cursor blinks at the beginning of the text field, after that the position stays at the center. This is only view-able after inputting the first character.