Fastest way to get rid of a hickey is to take some ice and make an ice pack and apply the ice to the hickey.
The ice will reduce the swelling and inflammation and the hickey should be gone overnight.
You can also apply peppermint oil and toothpaste to the hickey and leave the toothpaste and/or peppermint oil on the hickey until it dries out.
The hickey will be gone overnight doing either the above.
Another home remedy for getting rid of a hickey is to use some rubbing alcohol applied to a cotton ball.
Soak the cotton ball with some rubbing alcohol and apply the cotton ball to the hickey and let it dry on the hickey.
Then apply some moisturizer to the area you used the rubbing alcohol to avoid your skin from drying out.