President Barack Obama said the United States was "deeply concerned" about the move, but did not use the word "coup."
Washington has supplied Egypt's military with tens of billions of dollars in support and equipment for more than 30 years. Under U.S. law, that support could be cut off after a coup.
The United States on Friday condemned the deadly violence following Morsy's ouster.
"We call on all Egyptian leaders to condemn the use of force and to prevent further violence among their supporters," State Department spokeswoman Jennifer Psaki said.
"As President Obama said, we expect the military to ensure that the rights of all Egyptians are protected, including the right to peaceful assembly, and we call on all who are protesting to do so peacefully."
Meanwhile, the African Union announced Friday that it suspended Egypt from its ranks of member countries.
The AU's Peace and Security Council also said it was sending a team to Egypt to work toward restoring constitutional order.
More violence, more deaths
Of the 22 people killed Friday, state-run media reported 12 died in clashes in the northern Egyptian city of Alexandria, where Morsy's supporters and opponents have reportedly clashed for days.
Elsewhere, Islamist gunmen attacked Egyptian police stations and checkpoints in the Sinai, killing at least one soldier, agencies reported.
A senior intelligence officer who would not agree to being identified said two police officers were killed in the northern Sinai city of Arish when a group of men drove by the police station and shot them.
The assaults may have nothing to do with extremist threats to avenge Morsy's overthrow.
The desert peninsula next to Israel and Gaza has long eluded the control of Egyptian security forces, leaving extremists plenty of room to establish themselves.
The army said it was on high alert, a level below maximum alert, in the Sinai and Suez provinces. The military was enforcing a curfew until 6 a.m. local time Saturday in the northern Sinai Peninsula.
Egypt is the largest Arab country in the world and a close ally of the United States, which gives it $1.5 billion per year for military and civilian programs.
It controls the Suez Canal, a crucial sea route through which more than 4% of the world's oil and 8% of its seaborne trade travel.
With Jordan, it is one of two Arab countries that has made peace with Israel.