Yes, it is relatively easy for foreigners to buy property in Istanbul, including in historic areas like Sultanahmet and Galata. However, foreign buyers should consider working with a reputable real estate agent familiar with the local market and legal requirements. It's essential to verify the property’s title, understand any restrictions on foreign ownership, and ensure that the property is in good condition, especially if it’s a historic building. Additionally, considering rental potential and future appreciation can help maximize your investment.