"The president harbours no hard feelings about the incident," she said.
The spokeswoman was injured when a heavy metal microphone stand swung round at her as security guards rushed to restrain Mr Zaidi, reports said.
Arrested by forces under the command of Mowaffaq al-Rubaie, Iraq's national security adviser, Iraqi authorities have said Mr Zaidi, 28, will be prosecuted under the country's law.
"Zaidi was brought today before the investigating judge in the presence of a defence lawyer and a prosecutor," said Abdul Satar Birqadr, a spokesman for Iraq's High Judicial Council spokesman.
If he is charged with trying to murder a president, his sentence could be seven to 15 years in prison, said Mr Birqadr.
Tuesday saw a second day of rallies being held across Iraq hailing Mr Zaidi as a hero and calling for his release.
Meanwhile, offers to buy the shoes he threw were reportedly being made around the Arab world for as much as $10m (£6.5m).
The head of Iraq's journalists' union has asked the government for clemency towards the journalist.
President Bush ducks as the shoes are thrown
Mouyyad al-Lami described Mr Zaidi's action as "strange and unprofessional" but urged Iraqi Prime Minister Nouri al-Maliki, who was standing beside Mr Bush during the assault, to show compassion.
The previously little-known journalist from the private Cairo-based al-Baghdadia flung both his shoes at Mr Bush on Sunday during the US president's farewell visit to Iraq before he steps down next month.
"This is a goodbye kiss from the Iraqi people, dog," yelled Mr Zaidi as he threw the shoes.
Dargham Zaidi told the BBC his brother had deliberately bought Iraqi-made shoes, which were dark brown with laces, from a well-known shopping street in central Baghdad.
A graduate of communications from Baghdad University, Mr Zaidi lives in the Iraqi capital where he has worked for al-Baghdadia for three years.
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