Kazemi received scholarship offers from Maryland, Seton Hall, Oklahoma State, Missouri, Nebraska and Rice. On 1 November 2008, Kazemi committed to play for Rice University. He became the first Iranian national to play Division I basketball. He was a member of McMurtry College at Rice University.

Kazemi was initially called up to the national senior team in August 2010 for the Stanković Cup, ahead of the much anticipated 2010 FIBA World Championship. Kazemi went on to be Iran’s second leading scorer in the competition after Hamed Haddadi with an average of 12ppg, 7.4rpg and 2.8spg.

As a sophomore Kazemi was picked by the league’s coaches to the pre-season all C-USA 2nd team. Kazemi got off to a fast start averaging 17.5 points and 11.14 rebounds in the first 14 games of the season, before conference play started. He recorded nine total double double’s in the first 14 games, which included a 26-point and 14-rebound game against Miami in the ACC and a 19-point and 17-rebound game against LSU in the SEC. In the weeks of 27 December 2010 and 3 January 2011 Kazemi was named C-USA player of the week becoming the first and only player to receive the honor two weeks in a row for the 2010–2011 season. Kazemi didn’t miss a beat when entering conference play putting up a career high 28 points in the team’s first conference game of the season against Tulane University on 5 January 2011. Kazemi would get another career high against Tulane, this time grabbing 19 rebounds on 2 February 2011. Kazemi finished conference play with 8 more double doubles. Some notable games included a 28-point 13-rebound game against Tulane, a 17-point 13-rebound game against University of Houston, a 21-point 16-rebound game against SMU, and a 24-point 18-rebound game against SMU again. Kazemi finished up C-USA play with 9 double doubles (including the conference tournament) and a conference average of 13.6 points and 10.9 rebounds. This brought his season total of double doubles to 18, which placed him in the top ten among all of active Div I players. His play in Conference USA earned him a spot on the All Conference 2nd team just as predicted in the pre-season. Kazemi averaged 15.2 points and 11 rebounds, having a total of 487 points, 120 offensive rebounds, 231 defensive rebounds making a grand total of 351 rebounds on the year. In only two years at Rice Kazemi had scored 797 points and grabbed 623 rebounds.

Kazemi was drafted by the Washington Wizards with the 54th pick in the 2013 NBA draft. His rights were later traded to the Philadelphia 76ers on draft night. Kazemi became the first Iranian-born player to be drafted by an NBA team. He joined the 76ers for the 2013 NBA Summer League where he averaged 4.6 points and 4.6 rebounds in five games. Despite showing potential during the summer league, Sixers General Manager Sam Hinkie said “He would get a chance to work on his game somewhere else for a year, then [we] would have the opportunity to reassess where he is later.”

In July 2014, Kazemi re-joined the 76ers for the 2014 NBA Summer League. In September 2014, he signed with the Chongqing Soaring Dragons of the Chinese Basketball Association. He appeared in 27 games for Chongqing and averaged 15.0 points and 13.7 rebounds per game.

In July 2015, Kazemi again re-joined the 76ers for the 2015 NBA Summer League, where he led the game against the Boston Celtics in rebounds. On 29 September 2015, he signed a training camp deal with the Atlanta Hawks after the 76ers renounced his draft rights. He was waived by the Hawks on 10 October after appearing in one preseason game. Two days later, he was claimed off waivers by the Houston Rockets and joined their team. He was waived by the Rockets on 24 October after appearing in one preseason game. On 29 December, he returned to his native Iran, signing with Samen Mash’had, reuniting with former Petrochimi Bandar Imam’s coach Mehran Hatemi.

Kazemi spent the 2019-20 season with Mahram Tehran BC and averaged 9.6 points, 10.6 rebounds, 2.5 assists and 2.2 steals per game. On 7 September 2020, Kazemi signed with Chemidor Tehran BC.