Faizullah Khan, a reporter with the private TV channel ARY news, was arrested in April by Afghan security forces in Nangarhar province.
He was sentenced earlier this month to four years in jail for entering without travel documents and communicating with militant sources.
Pakistan’s Information Minister Pervez Rashid urged Karzai to issue a presidential pardon.
"I appeal to Afghan president Hamid Karzai to use his powers," to pardon Faizullah Khan, Rashid said in a press conference in capital Islamabad.
Rashid said Pakistan was also using diplomatic channels for the release of its journalist.
"Both the ministry of interior and the ministry of information have been pursuing this matter from day one, the day he was arrested," he added.
Rashid said Pakistan respected Afghanistan's judicial system and was appealing the verdict in an Afghan court.
Wafiullah Usmani, the head of the national security court of Nangarhar, in eastern Afghanistan, last week told AFP that Khan had no travel documents at the time of his arrest.
Khan was arrested with two members of the Pakistani Taliban on the Afghan side of the border, he said.
Pakistani journalist organisations have staged protest rallies across the country and have demanded the Afghan government release Karachi-based Khan before the Muslim festival of Eid-ul-Fitr, expected on Tuesday.
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This Journalist may be a non-State actor working for Pakistan government.
Similarly, Karzai should ask Pakistan to hand over Omar and Haqqani.
Pakistan intimidates, jails, tortures and even assassinates Journalist on a regular basis - why do you care about this Journalist?