The Zal Mahmud Pasha Mosque is located near the Eyüp Sultan Mosque in the Eyüp district. The Zal Mahmud Pasha complex is composed of a mosque, a madrasa, a fountain and the tombs of the builders of the complex. Zal Mahmud Pasha, the vizier of Suleiman the Magnificent and his wife had the mosque built by Ottoman architect Mimar Sinan.
Google Maps - Zal Mahmut Paşa Mosque

The exact construction date is unkown but it is considered in 1570s. The Zal Mahmud Pasha complex also includes the tomb of Zal Mahmud Pasha and his wife Esma Sultan. it were damaged in a earthquake in 1766. And then it was restored during period of Sultan Mahmut II.

You can use Metrobus : Take off Ayvansaray station then you can walk for 15 minute to go or use taksi after metrobüs.
You can use Public Bus
İETT Public Bus - Eyüp Sultan

The mosque is located next to Eyüp Sultan. There you can visit the handcrafts workshops manufacturing the traditional wooden toys identified with Eyüp.