Qureshi's statement comes days after India handed over a dossier to Pakistan to highlight JeM's involvement with Pulwama attack.
The dossier had details of JeM's training camps, the route used to infiltrate Kashmir, and the public addresses of the outfit's top brass just days before the attack.
India gave the documents after Pakistani Prime Minister Imran Khan said he "wanted evidence".
Separately, Qureshi said Indo-Pak war would be "suicidal"
In the interview, Qureshi said Pakistan didn't want an escalation with India. On probability of a war, Qureshi opined it would be "suicidal". He also stressed his country was against terrorism of any kind and added Wing Commander Abhinandan Varthaman was released as "peace gesture".