The phrase "adversarial manner" is correct and usable in written English.
It can be used to describe a way of behaving or interacting that is confrontational or antagonistic, often in a competitive context.
Example: "The negotiations proceeded in an adversarial manner, with both parties unwilling to compromise."
Alternatives: "hostile approach" or "confrontational style".
Charged with oversight of some of the US government's most sensitive intelligence activities, the Fisa court is a rare judicial body that does not operate in an adversarial manner.
Too often, students and their advisers avoid any conflict at all or approach conflict in an adversarial manner.
Although arguing explicitly is not to be equated with arguing aggressively or in an adversarial manner, analytic feminists have addressed the issue of stylistic aggressiveness.
"I don't think he's used to being spoken to in such an adversarial manner," added the senator, referring to Cook.
Fan participation at concerts is thus important; during the movement's first heyday, it was often provoked in an adversarial manner—apparently perverse, but appropriately "punk".
Perhaps Bachmann's greatest strength displayed during these televised debates is an ability to keep her opponents on the defensive with an adversarial manner that none of the other candidates seem quite capable of.
It is important to change the local professional culture to one where the bulk of the professionals share a commitment to practice in a non-adversarial manner as a first option and to stick with that option until all cooperative resources have been exhausted.
Mrs. Clinton displayed a combative, adversarial style.
Other journalists share Mr. Cooper's adversarial style.
The first is adversarial mode resource allocation: here we bound the stochastic envelopes of policed flows and achieve a statistically multiplexed QoS-controlled service, even in the case that all flows are independently adversarial, i.e. when all flows are non-collusively behaving in a worst-case manner at all time scales within the constraints of their policing functions.
"If Dave seeks closure on such a personal and sensitive matter, it should be respected but not imposed upon Beth in such an adversarial and public manner".
