I've found a simple way to do that. All you have to do is to set the rotation of 180º for the slidingDrawer, the content and the handle.
You can similarly make a SlidingDrawer that descends from the top, like I did here.
Look at my examples here, first from right to left, to be able to see the differences.
<SlidingDrawer xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/slidingDrawer"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:orientation="horizontal"
android:gravity="center_horizontal"
android:handle="@+id/handle"
android:content="@+id/content">
<ImageView android:id="@+id/handle"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:src="@drawable/ic_launcher" />
<ImageView android:id="@+id/content"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:background="#FF0000"
android:src="@drawable/ic_launcher" />
</SlidingDrawer>
Now look what I changed to make it sliding out from the left.
<SlidingDrawer xmlns:android="http://schemas.android.com/apk/res/android"
android:id="@+id/slidingDrawer"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:orientation="horizontal"
android:gravity="center_horizontal"
android:handle="@+id/handle"
android:content="@+id/content"
android:rotation="180">
<LinearLayout android:id="@+id/handle"
android:layout_width="wrap_content"
android:layout_height="wrap_content">
<ImageView android:id="@+id/imageView"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:src="@drawable/ic_launcher"
android:rotation="180" />
</LinearLayout>
<ImageView android:id="@+id/content"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:background="#FF0000"
android:src="@drawable/ic_launcher"
android:rotation="180" />
</SlidingDrawer>
Note that I also created a LinearLayout to set as handle, and didn't change it's rotation, but I changed the rotation of it's child. This was to prevent a small issue I had, but everything is working fine and it's simple.