The Taliban rejected the offer of amnesty for militants who laid down their arms and joined negotiations, Ihsan said.
Talking to reporters in northwest Pakistan, Ihsan accused Malik of being "a foreign agent not worthy of granting forgiveness to the Taliban".
Ihsan said his group would continue fighting till "the ouster of secular rulers imposed by foreign forces to rule an Islamic country".
The Taliban want the creation of "an independent state governed by Shariah law, upon which the foundations of Pakistan were laid", he claimed.
The Taliban have been blamed for hundreds of bombings and suicide attacks over the past four years that have killed or injured thousands.