His statement was in conflict with that of the foreign office which said Pakistan does not accept ICJ's jurisdiction in matters related to the national security.
"We will accept the decision of ICJ on Kulbhushan," Sanaullah told reporters at the Punjab Assembly.
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The minister further said Pakistan has strong evidence of Kulbhushan's involvement in espionage.
Foreign Office spokesman Nafees Zakaria had said India has been "trying to hide its real face" by taking the case of Jadhav to ICJ.
"The real face of India will be exposed before the world," he told the state-run Pakistan Television.
Jadhav, 46, has confessed his crimes of sabotage, terrorism and subversion activities not only once but twice, he said.
Zakaria said Pakistan has already informed the ICJ that it does not accept its jurisdiction in matters related to the national security.
On the other hand, opposition parties in Pakistan blamed Prime Minister Nawaz Sharif for securing 'relief' to alleged Indian spy Jadhav.
"Indian industrialist Sajjan Jandil's secret meeting with Sharif in Murree (a hill resort near Islamabad) paid off. It was outcome of post-Jindal visit. The game of Sharifs-India was on. We could have withdrawn our consent to automatic acceptance of ICJ jurisdiction," Imran Khan's Pakistan Tahreek Insaf senior leader Shireen Mazari said.
"We did not explain our appeal and review system to show there was no urgency - we simply said Kulbhushan would be executed in August 2017. We did not prepare our case at all once. We decided to go before ICJ so we lost on each point raised by India including urgency of matter," she said.
Mizari said more shocking part is that Pakistan's case was actually argued by Director General South Asia of MFA Dr Muhammad Faisal despite presence of lawyers.
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