The phrase "argue fiercely" is correct and usable in written English.
It can be used to describe a situation where individuals are engaged in a passionate or intense debate or disagreement.
Example: "During the meeting, the team members began to argue fiercely about the best approach to the project."
Alternatives: "debate passionately" or "dispute vehemently".
Economists argue fiercely about whether emerging economies can decouple from the United States, yet by some measures they seem to have done so already.
Orwell preferred the anarchists' way of doing things: "If a man disliked an order he would step out of the ranks and argue fiercely with the officer".
She and Wilson have often fostered, on an emergency basis, older children or sibling groups; Janis – no surprise here – would often argue fiercely with their social workers over their rights.
When I arrived in 2008, that writer was the Chilean Roberto Bolaño, whose book The Savage Detectives is filled with unrecognised writers, mostly poets, who lead ascetic, semi-nomadic lives and argue fiercely, not about advances or reviews, but art.
Orwell preferred the anarchists' way of doing things: "If a man disliked an order he would step out of the ranks and argue fiercely with the officer". He maintained that, however maddening such insubordination might be, "it does 'work' in the long run": the discussion enabled officer and soldier to understand one another's position.
Critics have argued fiercely about what it should be worth.
He rushed to the scene and argued fiercely with the Athens driver involved.
Instead of collaborating under pressure, this team argued fiercely, inhibiting possible solutions.
In conversation with me as well as in his book, Bock argues fiercely against the suggestion.
Mr. Abramson, who was chairman of the museum development committee, and Mr. Wiesel, who had the support of many survivors, argued fiercely.
