Zuiverloon was born in Rotterdam, Netherlands. He started his football career at the age of six at Feyenoord. Due to the injury of a teammate at Feyenoord, coach Ruud Gullit selected Zuiverloon for the first team, where he made his debut in professional football in the season of 2004–05. His first game was against Willem II, on 22 August 2004. He played a total of ten games that season, scoring no goals. In order to get more first team experience he was loaned out to RKC Waalwijk in the 2005–06 season, where he played a total of 28 games. In June 2006 he signed a three-year deal with his new club Heerenveen. The year before he was loaned to RKC Waalwijk, scoring his only goal that season against Heerenveen.
On 2 July 2008 it was confirmed by Heerenveen that Zuiverloon had signed a three-year deal, with an extra year in the club's favour, for West Bromwich Albion of the Premier League for £3.2 million. He made his debut for West Brom in a 2–1 loss against Everton. His first Albion goal came in the FA Cup, in the 3–1 defeat to Burnley on 3 February 2009. Following West Brom losing to Liverpool 2–0, Albion were relegated to the Championship after one season in the Premier League. In his second season, Zuiverloon established himself in the first team under manager Roberto Di Matteo. He scored his first league goal for West Brom in a 5–0 win over Watford on 31 October 2009 and went on to score in both games against Scunthorpe United, and against Cardiff City, as his team secured promotion to the Premier League after finishing second place in the Championship. In his third season for West Brom, Zuiverloon's first-team opportunities were limited while he made three starts in the League Cup scoring in a 2–1 win against Manchester City on 22 September 2010. He was loaned out to Championship side Ipswich Town on the last day of the loan window. He later on returned to his parent club, after four appearances for Ipswich, in December 2010 as Di Matteo faced a defensive crisis. Zuiverloon made his return against Manchester United on 1 January 2011. Three days later, he made his last Premier League match for West Brom Albion against Fulham in a 3–0 loss. Following the match, he criticised Fulham defender John Pantsil for the tackle that forced Marek Cech out of game. Zuiverloon announced he would leave the club in the summer and join a new club where he could play regularly. Eventually, he was released by the club on 25 May 2011 along with his teammates Abdoulaye Meite and Giles Barnes.
Born in the Netherlands, Zuiverloon is of Surinamese descent. Zuiverloon was a Netherlands Under 21 regular. In 2007 Zuiverloon was called up by Jong Oranje coach Foppe de Haan to be part of his squad for the 2007 UEFA European Under-21 Football Championship held in the Netherlands. Zuiverloon participated in both of their first round group matches against Israel and Portugal to secure a semi final spot and to qualify for the 2008 Summer Olympics. In the semi finals against England Zuiverloon had a great effort, playing a quality match which ended in 1–1 after extra time. In the following penalty shoot-out, with 32 kicks taken, Zuiverloon forced the decision with his strike past Scott Carson and brought the Dutch into their second straight final. The Dutch went on to retain their 2006 title by beating Serbia 4–1 in the final. After the tournament he was named in the 'UEFA Team of the tournament'. At the 2008 Olympics he helped the Netherlands to reach the quarter-finals, where they were defeated 2–1 by Argentina.