"fresh argument" is correct and usable in written English.
You can use it when you want to refer to a new viewpoint, idea, or point of discussion. For example, "John introduced a fresh argument that countered the prevailing opinion."
They saw the episode as a fresh argument for Democratic superdelegates to stay off the Obama bandwagon.
Proponents of advancing gender equality have a fresh argument to win over Davos it stimulates economic growth – and profits.
The defence will also be able to make a fresh argument in mitigation of sentence when Pistorius returns to the Pretoria high court, probably next year.
STUMPING last week for expanding free trade, President Bush added a fresh argument to the usual promises of new markets for American goods and services.
He said that trying to adhere to it would harm an ailing American economy, and he made a fresh argument that Europeans should be concerned about that because of trade with the United States.
With bin Laden's death, the civilian advisers who favor that approach, led by national security adviser Thomas E. Donilon, have a fresh argument for a more targeted — and less expensive — military mission at a time of severe fiscal strain at home.
There are fresh arguments and evidence for manyimportant claims about UG and ASL.
No riveting new disclosures were made and no fresh arguments were developed.
At the same time, it has given death-penalty opponents fresh arguments for suing to block executions.
But Mr. Barr's clearing of Mr. Trump will arm Republicans with fresh arguments to dismiss Democrats' inquiries as politically motivated.
The E, the D, and the several D-minuses that came my way at the end of the grading period were fresh arguments for a change of scene.
