Chosen Solution

I was working on my iPhone 5c late at night and while removing the battery I noticed that I may have punctured it. Any locations near me that dispose of these are currently closed and will not open until morning, so my question is if its okay to leave these overnight and if so, how do I properly store it?

Your best solution is to put the battery in a fireproof container. A battery like this is a potential fire hazard and should be isolated to prevent property damage in the event it does catch fire. RC folks use fireproof charging bags to protect against these types of situations It is also a good idea to put it in a well ventilated area in the event that it does catch fire. Hope this helps