After you pick it up, it will start an event with the Daruma. It requires you to complete the event successfully to keep it. If you die or leave the Park, this Item will be dropped in the Park and you'll have to pick it up again.
Once you pick up the Item, the Daruma Spirit will immediately appear at the entrance of the Park. It will be facing away from the Protagonist. You'll have to quickly interact with the Daruma behind its back. After that, you have to put the eyeball in the right side of the Spirit's eye socket. Once you do, the Spirit will let you keep this Item, which is inside another collectible Item it gives you called the One-Eyed Daruma.