It did not say whether the answers would be in writing or on video or audiotape.
Al-Zawahri, a former eye surgeon born in Egypt, is second-in-command to Osama Bin Laden.
Al-Zawahiri has become more prominent in the media than his leader in recent months, releasing at least 16 videos this year in comparison to four from Bin Laden.
Last week al-Zawahiri released a video in which he said the British handover of security in Iraq's southern Basra province proved that fighters in Iraq are gaining the upper hand.
He also criticised the US-sponsored Middle East peace conference in a separate video earlier this month, calling it a "betrayal".
Al-Zawahiri and Bin Laden are both thought to be in hiding along the Afghan-Pakistan border.
The US, which has indicted him in relation to his alleged role in the 1998 bombings of US embassies in Tanzania and Kenya, is offering a $25 million reward for his capture.