Classic Saddlestitch is done with the project clamped in a stitching pony or stitching clam, and the awl and one needle held in one hand and the other needle in the other hand.If you do not have something to clamp the work in and your project is small enough, you can achieve the same stitch freehand.
The video shows how.
In the video I mention finger gloves / finger cots. Here is what the packaging looks like. I cannot remember where I bought them.
Hand Stitching Leather