The Lions went into the game lacking attacking options after Burak Yilmaz became the latest player to join the Chinese Super League but matters were made worse when Sinan Gumus picked up an injury.
Galatasaray failed to find a way through the Konyaspor defence and ended the week 12 points behind rivals Fenerbahce.
Pressure is beginning to build up on Mustafa Denizli. Galatasaray were just 5 points behind leaders Besiktas when Hmazaoglu was sacked.
Besiktas remain seven points ahead of the Lions with three games in hand.
GALATASARAY 0-0 TORKU KONYASPOR
Stadium: Türk Telekom Arena
Referee: Bülent Yıldırım
Galatasaray: Muslera, Linnes, Koray Günter, Chedjou, Olcan Adın, Donk, Selçuk İnan, Sinan Gümüş (min. 41 Podloski), Sneijder, Yasin Öztekin (min. 63 Sabri Sarıoğlu), Umut Bulut
Manager: Mustafa Denizli
Konyaspor: Serkan Kırıntılı, Skubic, Ali Turan, Vukovic, Douglas, Ömer Ali Şahiner, Holmen, Ali Çamdalı, Meha (min. 89 Mehmet Uslu), Traore (min. 71 Bajic) , Rangelov (min. 82 Mbamba)
Manager: Aykut Kocaman
Yellow Cards: min. 63 Rangelov, min. 76 Ali Turan (Torku Konyaspor), min. 65 Podolski, min. 69 Chedjou ve Sneijder (Galatasaray)