How to remove extra padding around AppBar leading icon in Flutter

You can't do this because it is a predefined widget. You can, however, do this:

appBar: AppBar(
  automaticallyImplyLeading: false, // Don't show the leading button
  title: Row(
    mainAxisAlignment: MainAxisAlignment.start,
    crossAxisAlignment: CrossAxisAlignment.center,
    children: <Widget>[
      IconButton(
        onPressed: () => Navigator.pop(context),
        icon: Icon(Icons.arrow_back, color: Colors.white),
      ),
      // Your widgets here
    ],
  ),
),

Where automaticallyImplyLeading: true hides the leading IconButton so you can add your own widgets.

Just add a property called titleSpacing,

Sample

appBar: AppBar(
        leading: Icon(Icons.android),
        titleSpacing: 0,
        title: Text(widget.title),
      ),