It said all the group had been "neutralised", which typically means killed.
Turkish forces regularly carries out cross-border air strikes, often with armed drones, in neighbouring Iraq as part of its offensive against PKK militants based there.
On Thursday, Defence Minister Hulusi Akar said the military had hit 16 targets in air strikes that week in the same Asos region deep into Iraqi territory.
The PKK launched an armed campaign against the Turkish state in 1984 and has left more than 40,000 people dead so far. The PKK has been viewed as a terrorist group by Türkiye, the United States and the European Union.
