An Odinga ally, Miguna has declared himself a leader of the opposition's National Resistance Movement, which the government this week declared a criminal group.
"Grievances must be resolved through appropriate legal mechanisms", said Nauert, who also criticized "the government's action to shut down, intimidate, and restrict the media".
Meanwhile, the United States also expressed concern over the move to shut down TV stations, urging the government's to respect freedom of expression and implement court orders calling for the restoration of television broadcasts.
Interior Minister Fred Matiang'i accused media organizations of facilitating Odinga's "illegal act", which he said put the lives of thousands of Kenyans at risk. "We've never seen something like this, not even under Moi", he added, referring to Daniel Arap Moi, whose 24-year rule is remembered as a period of censorship and human-rights abuse.
A senior state officials said that among those whose passports could be suspended include, Siaya Senator James Orengo, former Nairobi gubernatorial aspirant Miguna Miguna - who is still in police custody and controversial billionaire businessman Jimi Wanjigi. Miguna had stood beside Odinga at Tuesday's symbolic "swearing in", a blatant challenge to the authority of President Uhuru Kenyatta.
Judge Chacha Mwita has directed the government to restore the transmission for the Kenya Television Network, Citizen Television and Nation Television News and not to interfere with the stations until the case challenging the shutdown is heard.More news: Test of the land-based Aegis missile defense system fails in Hawaii
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Last October, Odinga formed the NRM from his National Super Alliance (NASA) political movement to pressure the government to demand that President Uhuru Kenyatta step aside and to call for a new free, fair and credible election.
"They released him at 10 with a stern warning not to come back to serve the orders, so I have come here myself, but I am being been denied access", he said by phone from outside the authority's office.
"We reject actions that undermine Kenya's Constitution and the rule of law", the statement read.
During the protests in Nairobi, a 14-year old boy was shot by police as they engaged the opposition supporters. "The government has got its own reasons for shutting down these media houses for their own security".
"He was interrogated in connection with the oath taken by Kenyan main opposition leader Raila Odinga as the people's president", he said.