Goosen, the tournament's top seed, moves on to face ninth-seeded Mark Hensby, who beat 1999 champion Colin Montgomerie, 2 and 1, on the West Course at the Wentworth Club.
Defending U.S. Open champion Michael Campbell held off Geoff Ogilvy for a 1-up win. Campbell advances to play 12th-seeded Steve Elkington, who continued his fine play of late with a 6-and-5 trouncing of South African Tim Clark.
Luke Donald, the third seed, routed European Ryder Cup captain Bernhard Langer, 7 and 6. Donald faces Ryder Cup teammate Paul McGinley in the quarterfinals. McGinley dispatched two-time European Ryder Cupper Thomas Bjorn, 6 and 5.
Spaniard Jose Maria Olazabal eagled the 36th hole for a hard-fought, 1-up win over David Howell. Olazabal, a two-time Masters winner, moves on to face Argentine Angel Cabrera, who downed South African Trevor Immelman, 2 and 1.
Ferrie actually opened with a 1-up lead after Goosen bogeyed the first. However, the South African birdied each of the next two holes before Ferrie squared the match for the final time with an eagle on the par-5 fourth.
Goosen jumped to a 5-up lead by winning five holes from the sixth through the 14th. The pair traded wins over the next two holes, and the South African ended the opening 18 with a 4-up lead after Ferrie birdied No. 17.
Goosen then birdied the 19th to go 5-up again.
Ferrie bogeyed the 23rd hole and the 26th hole to fall 7-down. He tried to make a comeback as he birdied the 27th, but Goosen would have none of that. He birdied each of the next two holes to close out the match.
Montgomerie, who had never lost in the first round before, led after the opening nine, 3-up. Hensby won three straight from the 14th with a birdie and a pair of Montgomerie bogeys. Monty was conceded an eagle on 17 and birdied 18 to extend his lead back to 3-up.
On the second 18, the wheels fell off for Montgomerie. He played the third nine in 3 over and lost his lead. Hensby finally took his first lead with a birdie on the 28th. He moved 2-up with two to go as he birdied the 34th. Hensby knocked off Montgomerie as each player birdied the 35th hole.
Clark led Elkington 1-up through nine sloppy holes. Clark played the front nine in plus-1 and Elkington was 2-over through those nine. Clark dropped a shot on 10 to square the match. Elkington ran away with the match from there. He birdied three of the next four to go 3-up. Clark cut it to 1-down as Elkington double bogeyed the 15th and he birdied 17.
The Australian birdied 18 to take a 2-up lead into the afternoon session. Clark bogeyed the 21st and 23rd, while Elkington eagled the 22nd to extend his lead to 5-up. Elkington moved 6-up with a birdie on the 30th and when the pair halved the net with pars, the match was over.
Campbell built a 3-up lead over Ogilvy through 18 holes as he played the second nine in minus-4. Campbell birdied three of the first five holes on the second 18 go 6-up. Ogilvy started to fight back into the match starting with a birdie on the 24th hole.
Ogilvy won the next with a bogey and got it to 3-down with a birdie on the 26th. He birdied three straight from the 28th to square the match. After the pair traded the 33rd and 34th holes, Campbell got up and down for birdie on 18 to halve the hole and win the match.
Langer never led in his match with Donald. The German fell 4-down with three bogeys and a birdie by Donald in the opening six holes. Langer settled down with three birdies on the second nine, but still trailed 3-down through 18.
Donald slowly built an insurmountable lead as Langer bogeyed the 19th and 20th holes. The Englishman birdied the 25th and 28th to go 7-up and it was over two holes later.
Bjorn, who led 2-up during the first 18, squared the match when he double- bogeyed the 23rd hole, but would not lead again. McGinley won six of the next seven holes to blow the match open and cruise to the 6-and-5 win.
'That was important at that stage of the match,' said McGinley of his hole-out eagle on the 29th hole. 'Thomas had just hit it in close and had given himself a good chance of a birdie. The last thing I wanted to do was to hand him a hole and was making sure I hit it as close as I could.'
Olazabal was 3-up through eight. He parred his next nine holes, but was still 2-up through the opening 18. The Spaniard bogeyed the first three holes of the afternoon to fall 1-down. Howell's bogey on the 25th squared the match.
Each man won two more holes as the match went to the 36th hole all square. Olazabal's second shot to the par-5 came to rest 7 feet from the cup and he poured in that putt to win 1-up.
'I don't know where that 5-wood came from, right out of the blue,' said Olazabal of his approach shot at the last. 'It was a great shot and it saved the day, but I need to improve my driving tomorrow. This is one tournament I would like on my record, but I have to be realistic. The tee shots are costing me.'
Cabrera never trailed in his match against Immelman. The Argentine birdied the 18th to head to the afternoon 18 with a 3-up lead. The duo split the first two holes of the second 18, but Cabrera won two of the next three to move 5-up.
Immelman began to fight his way back into the match with back-to-back birdies from the 28th. He eagled the 30th to get it to 2-down. They halved the next five holes with four pars and birdie to give Cabrera the 2-and-1 win.