Al-Tornachi's daughter-in-law also appealed in the video for the hostages to be released: "I plead with you, free my husband and my mother-in-law," she said.
Al-Tornachi, a physician, said his wife, Hannelore Krause, who he referred to as Um Mazin, moved to Iraq 40 years ago.
The kidnappers released a video last week showing Krause weeping alongside her son and appealing to Angela Merkel, the German Chancellor, to meet their demands.
The video showed Krause's passport and was broadcast on March 10.
That tape showed a masked man reading: "We give the German government 10 days from the date of this statement to announce and start the withdrawal of their troops from Afghanistan, otherwise ... they will not even see the bodies of these two agents."
He did not give the date of the statement.
The speaker said Germany was "annihilating" fellow Muslims in Afghanistan and "smiling at us in Iraq. Do not the tyrants know that we are one nation with one religion?"