The hotel is located about 8-10 mins walking distance to Sultanahmet Tram Stop. If you would be using the public transport from Ataturk Airport, you will need to take the subway to Zeytinburnu and switch to the tram to reach the main square of Sultanahmet.
Alternatively, the hotel provides airport transfer service from Ataturk Airport for 25 Eur for one way, or for 45 Eur for both ways.
The metro station is easily reachable within 10 mins and the walk takes you past the Blue Mosque and through the Hippodrome.
Get an answer from Deniz Houses Hotel staff and past guests.