The supernatural does not obey natural law. Since evidence means that it supports the existence of the claimed existent, the question is: how can I make an inference to the supernatural if the supernatural do not obey the normal rules for making an inference? If I suppose that a fish exists, I support that position by relating how the presumed fish is related to the observed phenomena by the natural laws which all things obey. But if you tell me that God did X, how do I draw a chain of cause and effect back to a God who doesn't obey cause and effect? Maybe it was God. Maybe it was ghosts. Maybe it was an alien who can transcend what I know of natural law. Lacking a causal story, there is no way to draw an inference as to the cause of X. If by open to supernatural evidence you mean that I am willing to listen to your prattle, sure. On the larger question of whether there can be valid evidence of the supernatural, I'm decidedly skeptical, for the reasons given.
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