Clashes Erupt at Cairo Barracks; Many Hurt
But the National Salvation Front, a liberal coalition, also issued an "urgent call" for supporters to take to the streets on Friday in response to Islamists' demonstrations.
NSF spokesman Khaled Dawoud told Reuters that plans by the Brotherhood and its allies to hold protests amounted to a "counter-revolution."
Egypt's newly appointed Foreign Minister Mohamed Kamel Amr said that Secretary of State John Kerry had expressed concern during a telephone call on Thursday for human rights, Reuters reported.
(Read More: Egypt Stocks Surge on Relief After Morsi Ouster)
"He was worried about the status of human rights," Amr said, adding this was understandable. "I assured him there is no retribution, no acts of vengeance, that nobody will be treated outside the law."
Amr, a career diplomat who tended his resignation to Mursi after Sunday's anti-government protests, said he had spent the day calling international counterparts and briefing ambassadors with the message that there had been no "military coup" in Egypt. The army had merely heeded the popular will.
Of his conversation with Kerry, he said: "I told him that the main aim of the military now is to maintain security."
"There will be no acts of violence, no acts of exclusion. Everybody will be included. The idea is to have everybody participating in the transitional process."
Reuters and The Associated Press contributed to this report.