The commander said on Friday that the fighters managed to force out the ISIL militants from most of the city’s areas.
He added that the terrorists, before retreating, had left bombers in the ruins of the various buildings in the city.
The commander went on to express optimism about the possibility of liberating the entire city in the near future.
Reports say Kurdish fighters are currently engaged in heavy fighting with the Takfiri militants in the eastern side of the strategic city.
Kobani and its surroundings have been under attack since mid-September, with the ISIL militants capturing dozens of nearby Kurdish villages.
The ISIL advance in the region has forced tens of thousands of Syrian Kurds to flee into Turkey, which is a stone’s throw from Kobani.
Turkey continues to block any delivery of military, medical or humanitarian assistance into Kobani where the ISIL terrorists are feared to be aiming at massive bloodletting.