It's a practice more than an analysis, so to do it you practice Zen exercises. The central exercise is meditation. Thinking about meditation is like thinking about push-ups. A little analysis helps to refine the form, but it's not the point.
You will be hard pressed to find a Zen teacher who would deny that practise is Zen. It does certainly not "lead to Zen". E.g. "Enlightenment and Practise are one" (Dogen), "There is no Zen master in great (Sung) China", the frequent warnings against step-ladder Zen, the idea that Zen is not useful and nothing is gained, "there is only the way, beginning, middle and end" etc.
