He played competitive basketball at Universitatea Cluj, becoming national champion in 1992. He played professionally in the French league with Pau-Orthez during the 1992–93 season and was an instant hit with fans, also managing to win the French League Cup. He was selected by the NBA’s Washington Bullets in the 1993 NBA draft. He played in the NBA from 1993 to 2000 showing signs of a promising career that was derailed by injuries. His best season came in the 1995–1996 campaign, when he averaged 14.5 points per game.

Outside basketball, Mureșan has dabbled in acting, playing the title character in 1998 feature film My Giant starring comedian Billy Crystal. He appeared as a ventriloquist in the music video for Eminem’s breakthrough single “My Name Is.” He has appeared in commercials for Snickers candy bars, and sports television network ESPN. Most recently, Mureșan co-authored two young adult fitness and health books: The Boy’s Fitness Guide and The Girl’s Fitness Guide.

In 2004, Mureşan founded the Giant Basketball Academy (GBA), a program dedicated to teaching the proper fundamentals of basketball to boys and girls of all ages. The Academy is located in Ashburn, Virginia.

On March 11, 2007, Mureșan played a game for the Maryland Nighthawks as part of the tallest lineup in the history of basketball. This was the only basketball game Mureșan ever played where he was not the tallest person on the court, as Sun Mingming is 7 ft 9 in (2.36 m).

In 2013, Mureșan participated in the first annual 3v3 UMTTR (You Matter) Basketball Tournament to increase awareness, prevention and research of teen suicide, the leading cause of death among adults and children between the ages of 15 and 24.