Our extended family stayed at the Antique Khan on two several occasions while travelling around Syria last month. On both times we were very disappointed with the management. The guy at the front desk is a nervous fellow who seems to be under a lot of pressure to make this new hotel a success, but goes about it the wrong way. We were insistently asked to leave reviews on Facebook and Tripadvisor ("but if you don't enjoy your stay don't leave a review!" he tells us!), the taxi he arranged for us charged us (we later learnt) a silly amount of money for a very short ride (and he knew that's what we would be charged, why did he not tell us the price was unfair), and we ended up having a big argument over the pricing of the rooms (he had agreed to charge less for the quadruple as we would be leaving in the early hours of the morning - but it turned out that he had simply shifted the charge to one of the other rooms, with the excuse that we needed to pay for the baby cot). We even got charged for two Turkish coffees which were offered to us by the breakfast waiter after we had finished breakfast and left him a nice tip.
Don't get me wrong: although some of its rooms are very small (ask for the ones on the top floor), they are very nicely decorated. The inner courtyard, where a very good breakfast is served, is adorned by a fountain and a big tree with lots of beautiful details all around.
The Antique Khan is definitely a little gem, but there are many gems in Damascus and I would choose to stay somewhere else. We had the fortune of also staying at the Talisman and loved it. Damascus is a charming place, don't let it get spoilt by unprofessional hotel management.