England opening batter Crawley suggested he had no knowledge of comments made by captain Ben Stokes about the team environment as no place for "those lacking fortitude".
Stokes made this message in several conversations in the wake of England's loss in the second match of the Ashes series against the Australians previously.
In the lead-up to the Adelaide Test, where the visitors are staring at defeat at the earliest opportunity, Stokes noted he had let his message to "circulate freely" among the playing group.
"I've done all the talking over the past two days that I needed to have done," said Stokes.
But, following the opener scored a knock of 85 on the fourth day in Adelaide, he commented: "I didn't see that."
"I wasn't actively searching for it. Our approach is to take everything that is said in the media with some skepticism," Crawley continued.
Raw Conversations and Consistent Messaging
Stokes made the "weak men" comment after his side were beaten in Brisbane to fall two matches behind.
The team subsequently took a holiday to a Queensland resort in the gap between the second and third Tests.
Before the Adelaide contest, he said his players had held "raw" talks and he had asked them to "display some fight" in their battle to remain alive in the series.
Nevertheless, the Kent batsman stated the messaging from Stokes and coach McCullum had stayed in line with their prior tenure in leadership.
"It's been very positive, the same as always," said Crawley. "It's just trying to be optimistic, playing our brand, with great liberty. We believed we could do an extraordinary feat going into this game."
Australia Close of Rapid Ashes Triumph
Crawley's dismissal on day four was part of a crucial triple-strike by Australia off-spinner Lyon.
Lyon's triple strike in 20 deliveries – including the wickets of Brook and Ben Stokes – left the chasing side 207-6 in pursuit of a notional total of 435.
Consequently, Australia need just four more wickets on the final day to move to an unassailable 3-0 advantage after three matches played.
Defeat would prolong the English team's drought in Australia to 18 consecutive matches and condemn them to a fourth straight overseas Ashes defeat.
This series is set to be decided in only eleven days of cricket – with England losing the first two Tests in rapid time respectively.
The last time 1921, when the Australians sealed victory in the UK in eight days, has the destination of the urn been determined so quickly. Australia have also triumphed in 11 days on two other occasions in the 21st century.
"It's disheartening," admitted Crawley. "We came here to regain the Ashes and now we are facing elimination at this point."
"There will still be plenty to play for and we will definitely view it with that mindset," Crawley added.
"The challenge has been tough. Australia is a formidable side. It was inevitably tough touring here against them. They were the favourites and have demonstrated their quality."
Ollie Pope's Place Under Scrutiny
While Crawley's innings in the third Test probably answers doubts about his short-term future in the England team, Ollie Pope appears under threat for his spot in the Melbourne Test on Boxing Day.
The Surrey batsman was out for 17 in the team's second knock on Saturday, extending his poor record against the old enemy.
In 16 Ashes innings, the Surrey man has never made a half-century and boasts an average of 17.62.
A solitary other English batsman since 1900 – Dennis Amiss – has played as many times in the top six in the Ashes and recorded a poorer average.
However, Crawley insisted any suggestion Pope is being scrutinised originates with "the media" – meaning the press – "and not within the team."
"We all know of his considerable talent," said Crawley. "Ollie has enjoyed a good year if I'm honest."
"He has produced some really good knocks. It is noise externally. There's no discussion of that nature on Ollie amongst the players," Crawley finished.