Australia is now one win away from advancing to the semifinals.
It was the ideal day for France as they captured a 2-0 lead over Great Britain in the 2017 Davis Cup by BNP Paribas quarter-finals on Friday.
"I am very happy, I knew David had the level but you have to deliver and he did".
If Hewitt was a crackling ball of emotion on the sideline all weekend, the contagion has spread to his players, with Kyrgios on top of the list. Australia do too. we have the home advantage.
"This doesn't have to end here. We weren't going to go down without a fight".
"Semi-final is still a long way off".
Querrey had beaten Kyrgios last month at the ATP event in Acapulco.
Nick Kyrgios defeated American John Isner in three tight sets to put Australia up 2-0 in their Davis Cup tie in Brisbane. Kyrgios, who once confessed to not enjoying the game, said he was in a much better place now and his recent results reflected his mindset.
Sock looked exhausted as he was dispatched by world No.79 Thompson but Courier said he would have no hesitation sending him back into action, having won America's last doubles match alongside Johnson against Switzerland in February. I'm going out there and playing the game how it's supposed to be played - and I'm playing hard.
"It's my attitude at the moment, I'm trying to knuckle down and compete for every point and that's something I haven't done in the past".
The 21-year-old rebounded from mini-breaks in both tie breakers and managed to find a way to return two booming serves as he dug himself out of trouble to win 7-5 7-6 (5) 7-6 (5).
"Thommo in only his second live Davis Cup match, that was pretty impressive", he said.
"It'll be exciting to watch - it always is with him, one way or another".
"It's just a bit of relief".
"I couldn't be prouder of my boys", said Australia captain Lleyton Hewitt. "It was a lot of relief to get through".
But teammate Jordan Thompson's 6-3, 3-6, 7-6 (7-4), 6-4 win over American Jack Sock, the highest-ranked player in the tie at No.15, set the Americans back on their heels.
And the American duo made sure the USA would live to fight another day when they outlasted the Australian pair 3-6, 6-3, 6-2, 2-6, 6-3.
He then wrapped up the two-hour victory with the last of his 21 aces, comfortably outserving Querrey, who hit only eight.
The manner of the victory will go a long way to winning over an Australian sporting public who have grown exhausted of the world number 16's on-court behaviour.
1 carried on from the early work of underdog compatriot Jordan Thompson, who stunned Jack Sock in four sets to give the hosts a flying start at a packed Pat Rafter Arena. "I think we've got a good shot".