The phrase "administration that could" is correct and usable in written English.
It can be used in contexts discussing potential actions or capabilities of an administration or governing body.
Example: "The administration that could implement these reforms is crucial for the future of our community."
Alternatives: "government that might" or "leadership that has the potential to".
Spain's leaders are so divided that they can't form an administration that could attempt bold moves.
Still, the companies involved in the proposed deal have longstanding ties to the new administration that could be decisive.
If the commission does not issue its decision until the next administration, that could keep Yucca Mountain viable.
But this is an administration that could figure out a way to sell sunblock to a night crawler.
But the relatively conciliatory statements by Russia's president, Dmitri A. Medvedev, present an opening to the administration that could turn out to yield little.
Industry officials believe they face a hostile administration that could seriously harm their business with a range of new federal regulations on greenhouse gas emissions, mountaintop removal mining, air pollution, coal ash disposal and mine safety.
"Given [the governor's] concerns about 'record' deficits before -- deficits that were significantly smaller than under this administration -- that could be taken as one heck of an indictment of his Democrat friends and this administration," said Stewart.
Financial companies are doing their best to persuade the administration that she could not be confirmed.
Another Bush administration official said Pakistan's government had yet to assure the administration that it could control the ISI.
It told the Bush administration that it could make a half-dozen such weapons soon, administration officials said.
The alarming trend of recent bloodletting, however, persuaded the administration that it could no longer watch from the sidelines.
