Yes! The majority of hotel reservations are fully refundable as long as you cancel before the hotel's cancellation deadline, which is often 24 or 48 hours before check in. If you have a non-refundable reservation, you might still have the option to cancel and get a refund within a 24-hour period of booking. Put your dates in and click on "Search", then filter by "fully refundable" to review the top deals on offer near Red Square.