The phrase "a growing acceptance that" is correct and usable in written English.
It can be used when discussing an increasing recognition or acknowledgment of a particular idea, belief, or trend.
Example: "There is a growing acceptance that remote work can lead to increased productivity among employees."
Alternatives: "an increasing acknowledgment that" or "a rising recognition that".
A ComRes poll of 100 peers shows a growing acceptance that constitutional reform is inevitable following the parliamentary expenses scandal.
In Britain, Cable said: "Now there's a growing acceptance that we're a better country for being diverse.
The clamour signifies a growing acceptance that Higuaín has definitively made the leap from sub-elite to truly world class.
And there will be a growing acceptance that this period in their life is on the retreat, thoroughly dwindling in relevance.
The survey also found a growing acceptance that genetics, rather than parenting, peers or God's will, was responsible for sexual orientation.
There is a growing acceptance that a watery graveyard is a necessary evil for the maintenance of a free and prosperous Europe.
This is further reflected in the continual shift from prescriptive to performance based design in many parts of the world demonstrating an ever growing acceptance that these buildings are beyond the realm of applicability of prescriptive guidance.
But he told the meeting convened by the US president, Barack Obama, in New York that the world might be heading towards a "moral victory" with growing acceptance "that it can never be right to kill in the name of God".
Even barring a seismic event like that, there is widespread and growing acceptance that negotiating a new trade deal with the European Union cannot be done before March 2019, when Britain is scheduled to leave.
Though reports of his imminent demise are not new he was said to be at death's door as long ago as 2006 there is growing acceptance that a successor must be found.
Last December, Oliver Balch looked back at 2014 and saw growing acceptance that business would play an ever-growing role in fighting climate change, while governments would sit in relatively smaller seats.
