While I write this essay, my cat is sleeping beside me. He is a formidable creature, In Zen terms I would say
Black cat sleeping
Writing I am
Sliping
To Zen, when we try to intellectualize the world, in fact, we're nothing but sleeping. Zen tries to tell you, look! There is a cat sleeping, and that's all there is. The whole universe is contained in that fact, although you can't explain what it is, and why.
Zen teaches us to value intuition over thinking. When you practice Zen for a long time, you realize things quickly, but that realization if not meant to stay forever as a concept, in a category, within your mind. The intuition slips away at the moment you try to grasp it, to have it for yourself. But, in Zen, things are not to be owned by anyone. Things appear to you, as as phenomena, and when you get them, they run, like a fish in a pond. And, then, you sit and start to reason about it, "why the fish scaped" and that's not Zen anymore.
God, of course, is ungraspable by itself. Therefore, is not that God does not exist in Zen, is that it cannot be even glimpsed. As Jesus said "no one has ever seem God". Therefore, Zen might sound too mundane, on the contrary, it is the highest philosophy.
In West, we are accostumed to talk a lot about things. To Zen talking about things is useless. We need to understand that by not understanding at all. For example, you eat and then wash the dish, and the fork, and the knife, but your head is wandering about the theatre play, the sound of chattering in the room, the coldness of the air-conditioning, although you're not there yet(or anymore).