"The allegation is that somehow, Obama administration officials utilized intelligence for political purposes", Rice said on MSNBC.
When asked about the remark, Rice declined to respond, saying she has been "called a lot of things by folks on the right that are unfair and disingenuous".
"Rice certainly wasn't politically naive about the political uses of intelligence information", the New York Post noted in an editorial.
"I'm not denying that she routinely requested the unmasking of individuals", the source close to Rice said, adding that any instance of unmasking would have been necessary to understand the value of the intelligence being presented to her.
Seeing former national security adviser Susan Rice's name in headlines is nothing new, said Sen.
"If I saw an intelligence report that looked potentially significant", she explained, "I can make that request", to "unmask" names of US citizens.
Rice described a hypothetical example of a conversation between two foreigners about a conversation they were having with an American who was proposing to sell them hi-tech bomb-making equipment. Every time something went wrong, she seemed to turn up in the middle of it, " said Cotton.
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The bar is high too because there has to be a legitimate intelligence reason to justify identifying the person or persons.
"Over eight years, for me and others who served, it was not uncommon, in fact it was necessary at times to make those requests to find out the identity of US officials, on every topic under the sun when it seemed relevant", she said. It was not then typically broadly disseminated throughout the national security community or the government.
"The notion that which some people are trying to suggest that by asking for the identity of an American person is the same as leaking it is totally false". There is no equivalence between so-called unmasking and leaking.
Rice also called "absolutely false" there was no collection or surveillance on Trump Tower or Trump's team directed by the White House. "The intelligence community, the director of the Federal Bureau of Investigation, has made it very clear".
President Trump, however, ordered more airstrikes against al-Qaeda in Yemen in February than any year in Obama's presidency.
The FBI interviewed Mr Page as part of a separate investigation into three Russian men identified as agents of the Russian foreign intelligence agency, the SVR. Congressman Devin Nunes, chairman of the House Permanent Select Committee on Intelligence, confused the matter even further by seemingly disclosing to the public that he had been provided classified intelligence reports indicating that there was at least one (if not multiple) FISA warrants that had authorized the surveillance in which = Trump and/or his associates had been caught up incidentally. And the fact is that this latest unmasking episode is a smokescreen to distract from the broader issue - which is that the President of the United States made a completely unfounded and very serious allegation against his immediate predecessor.
Trump's allies have cited the reports about Rice as evidence proving the President's claim that he was spied upon by the previous administration.