Damian Pachter left Argentina on Saturday, saying he had received threats and was followed after being the first to report the sudden death of prosecutor Alberto Nisman.
Nisman was found in his Buenos Aires home with a gunshot to the head on January 18, the day before he was to go before a congressional hearing to accuse Kirchner of obstructing his investigation into a 1994 bombing at a Jewish community center.
"There is no obstacle for any journalist to express whatever he thinks."
Pachter, a journalist for the English-language Buenos Aires Herald who holds dual Argentinian-Israeli citizenship, took refuge in Israel.
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The reporter, who also worked with Israel's Haaretz daily, told colleagues his phones had been tapped in Argentina.
In a column published by Haaretz entitled "Why I fled Argentina after breaking the story of Alberto Nisman's death," Pachter recounted the intimidation that led him to leave Argentina.
He also criticized the Telam national news agency and the Twitter account of the Casa Rosada presidential palace for publishing information about his plane tickets, which included a return date.
Since Pachter said he felt threatened and his whereabouts were not known, Capitanich argued, "it was very important to publish the information so there was public knowledge of his whereabouts."
The cabinet chief also suggested that Pachter should have provided authorities with a photograph of the man he said followed him, so that he could be identified.
Nisman had accused Kirchner and her foreign minister Hector Timerman of shielding Iranian officials implicated in the bombing of the Argentine-Israelite Mutual Association, which killed 84 people.