"displaying arrogance" is correct and usable in written English.
You can use it to describe someone who is behaving in a condescending or haughty manner. For example, "The CEO refused to answer any questions, displaying arrogance throughout the entire meeting."
The company displayed arrogance of its own and seemed to have little respect for greater public scrutiny and review, and little interest in salvaging the deal once it became vulnerable.
Burnham was speaking following warnings by his leadership rivals Liz Kendall and Yvette Cooper that Labour needed to guard against being a party run only by men, amid allegations that Burnham's supporters had displayed arrogance over the issue.
But to some critics, it was the Bush administration that had displayed arrogance in initially bucking the tide of international condemnation of the action against Mr. Chavez, who was democratically elected in 1998.
He then goes on a journey where he displays arrogance, contempt, and lashings of social envy on his way to becoming a billionaire.
But to cavalierly use a people's suffering for political purposes, not only displays arrogance, ignorance, and privilege, it demonstrates bad political instincts---just ask Trent Lott.
In perhaps the most intensely scrutinized offshore drilling project in history, Shell's calamitous 2012 Arctic drilling effort off Alaska displayed arrogance, incompetence, and a reckless disregard for the risks involved.
Just before the fighters received their instructions from the referee, Ali, displaying his arrogance of old, twice touched Frazier's shoulders as he whirled around the ring.
Theresa May has been accused of displaying the "arrogance of a Tudor monarch" over her reported intention to deny a parliamentary vote on Brexit before beginning the process of pulling the UK out of the European Union.
The museum's disgruntled employees, embroiled in unhappy negotiations over which jobs will be cut, place most of the blame on a management they say has behaved foolishly, failing to plan properly for the future, and displaying an arrogance that has alienated its government patrons.
