A friend of mine was raised in a small apartment in the heart of Paris, and now her mom rents it out. It looks adorable, and I'm not sure if she does one-night-only visits. But I thought I'd share, in the event that it's exactly what you are looking for.
Bon voyage! 
http://www.aptinparis.com/
Very pretty... we'll need a hotel though... this would be perfect for a week in Paris!