The hosts had blanked Germany in their opening tie and became the first to seal a quarter-final spot with their second 3-0 win in the inaugural team event.
American qualifier Steve Johnson is through to his first ATP Tour semi-final after an emphatic victory at the Delray Beach Open on Friday.
Rafael Nadal suffered a shock 7-5, 6-3 defeat by Austrian Dominic Thiem in the Madrid Open quarter-finals on Friday, a result that means the Spaniard will lose the world number one ranking.
Switzerland took advantage of Novak Djokovic's absence to open a 2-0 lead over last year's runners-up Serbia in their Davis Cup tie on Friday with Roger Federer and Stanislas Wawrinka winning their singles rubbers.
World number one Novak Djokovic eased past Greek Stefanos Tsitsipas 6-3, 6-4 to lift his fifth Dubai Tennis Championships title on Saturday, extending his unbeaten start to the 2020 season. Djokovic has now won 21 straight matches, including 18 this season, having already lifted the inaugural ATP Cup with Serbia and a record-extending eighth Australian Open title last month.
Djokovic had his personal best winning sequence of 30 consecutive sets ended as Cilic played almost flawlessly aggressive tennis to draw first blood in a magnificent duel.
Roger Federer gained a measure of revenge against Wimbledon nemesis Kevin Anderson, beating the South African 6-0, 6-4 at the Miami Open on Thursday to set up a mouthwatering semi-final against a player barely half his age.
The sorry state of American men's tennis will continue for some time with no real talent on the horizon, said Pete Sampras who dominated the game in the 1990s with fellow American Andre Agassi.
The 21-year-old Coric came from two sets to one down to defeat the 20-year-old debutant Tiafoe 6-7(0), 6-1, 6-7(11), 6-1, 6-3 and finally subdue a remarkable fightback from the Americans, who had earlier levelled the tie 2-2 from two down.
Briton Andy Murray will take over from Novak Djokovic as World No 1 when the rankings are updated on Monday after his Paris Masters semi-final opponent Milos Raonic withdrew with a leg injury on Saturday.
'He can say what he wants, I don't have a problem with it. Does he show me the same amount of respect that most other players do? No, he doesn't, but that's the way he communicates these days'
Nick Kyrgios has hit back at Bernard Tomic after his compatriot accused him of feigning illness to skip Australia's Davis Cup match against the United States at the weekend.
World number one Novak Djokovic and number two Andy Murray crashed out of the Western and Southern Open within an hour of each other on Friday, before Rafa Nadal restored order with a win over old rival Roger Federer.
Alexander Zverev snatched the Laver Cup for Team Europe as he beat Canada's Milos Raonic in the final rubber of a thrilling three days of action in Geneva's Palexpo Arena on Sunday.
Andy Murray continued his strong clay court form by booking a place in the semi-finals of the Madrid Open with a 6-4, 7-5 victory over Milos Raonic.
A round-up of results from Davis Cup matches played on Saturday and Sunday
Summary of sports events and persons who made news on Wednesday
Jack Sock started a new tradition on Thursday, one that the 23-year-old hopes will become a regular occurrence as he carves out a successful tennis career.
Anderson's rock-solid belief was unshakeable, even when he faced a match point in the 10th game of the third set.
Defending champion Djokovic fired his 15th ace on match point to defeat Querrey but his serve had been an issue earlier in their second-round encounter.
IMAGES from Day 7 of the US Open on Sunday
A few days after it appeared as though a Roger Federer impersonator had gatecrashed the 02 Arena, the Swiss great resumed normal service to outplay Kevin Anderson and reach the last four of the ATP Finals on Thursday.
It was the 31-year-old Serb's second comfortable win in the Gustavo Kuerten group and combined with Marin Cilic's 6-7(2), 6-3, 6-4 defeat of American John Isner later in the day, he sealed his place in the semi-finals at the year-ender for the eighth time.
Rafael Nadal knows only too well what it's like to miss out on playing at the Olympics, hence he does not understand why so many of his fellow tennis professionals are turning their backs on the Rio Games in August.
Rafael Nadal and Roger Federer will set aside their long-time rivalry when they play for Europe against the rest of the world in the inaugural Laver Cup tournament which starts on Friday.
Australia's number two Bernard Tomic will be absent from this week's Davis Cup quarter-finals but the United States will still have a fight on their hands in Brisbane due to the impressive form of Nick Kyrgios, US team captain Jim Courier said.
Benoit Paire made a remarkable Davis Cup debut for France, outplaying Pablo Carreno-Busta 7-5, 6-1, 6-0 in the opening rubber of the World Group semi-final tie against Spain at the Stade Pierre-Mauroy on Friday.
IMAGES from matches played at the Miami Masters in Key Biscayne, Florida
The trick-shots, underarm serves and tirades at spectators are all part of the theatre, and the 'what will he do next?' lure puts bums on seats, in much the same way John Daly still draws a crowd in golf.
IMAGES from the matches played at the PNB Paribas Open at Indian Wells on Sunday
Images from Day 8 of the Australian Open at Melbourne Park on Monday.
When Andy Murray was dragged to five sets in the opening round of the French Open and then again in the second, it was hard to believe this would be the year when the Scot could end Britain's 81-year wait for a men's Roland Garros champion.
With 1,500 points available for an undefeated champion next week, the tournament could produce a thrilling climax with Murray and Djokovic, who have never met at the O2, facing off in the final for the year-end number one ranking.
Nick Kyrgios eased past John Isner 7-5, 7-6(5), 7-6(5) in a duel of big servers to fire Australia to a 2-0 lead over the United States in their Davis Cup quarter-final in Brisbane on Friday.
A clinical Roger Federer took a confident step towards a fourth Miami Open title on Wednesday, easing past 13th-seeded Russian Daniil Medvedev 6-4, 6-2 to book a spot in the quarter-finals.
Roger Federer made a comfortable start to his quest for a 100th title, despatching Fabio Fognini in straight sets to ease into the quarter-finals at the Paris Masters on Thursday.
World No 1 Novak Djokovic began his Paris Masters title defence with a routine 6-3, 6-4 win over German Philipp Kohlschreiber in the second round on Tuesday.
Roger Federer returned from a month-long layoff with a 6-4, 6-4 second round victory over Roberto Bautista Agut on Tuesday at the Western and Southern Open in Cincinnati.
World No 1s Andy Murray and Angelique Kerber have been named top seeds for the first major of the season, Australian Open, which will commences on January 16.
Team Europe swept the singles matches at the inaugural Laver Cup on Friday before Australian Nick Kyrgios and American Jack Sock took down top-ranked Rafael Nadal and Tomas Berdych in the doubles to salvage a point for Team World.