While attending the University of Southern California, Udeze played for coach Pete Carroll's USC Trojans football team from 2001 to 2003. He was a three-year starter and helped his team to a 2004 Rose Bowl victory and AP national title as a junior. He finished his college career with 135 tackles, 28 sacks, 14 forced fumbles, three fumble recoveries, one interception, five pass deflections, and two blocked kicks. As a junior in 2003, he was a first-team All-Pac-10 selection, and was recognized as a consensus first-team All-American.
Udeze was drafted by the Minnesota Vikings in the first round of the 2004 NFL Draft. During his rookie season with the Vikings, he started 15 games and recorded 36 tackles, five sacks, one forced fumble, and one pass deflected. As a second year pro, Udeze was injured in the Vikings third game of the season with cartilage damage in his left knee, which kept him out the rest of the year. Udeze finished the season with three games started, five tackles, and one quarterback sack. In 2006, he was once again the starter at left defensive end, playing 16 games, starting 15 and recorded 29 tackles and no sacks. The following year, he again playing in all 16 games, with 15 starts, and had 47 tackles and five sacks.
Illness and retirement
On February 11, 2008, it was announced that Udeze was diagnosed by doctors with a form of leukemia: acute lymphoblastic leukemia. KMSP-TV also reported that Udeze was at Fairview Southdale Hospital undergoing tests and that he was at the Mayo Clinic in Rochester the week before. Udeze revealed that his acute leukemia is in a state of remission. Udeze received a bone marrow transplant from his brother. The Vikings placed Udeze on the non-football injury list and eventually injured reserve in July 2008, ending his season. Udeze returned to the Metrodome as an honorary captain for a game against the Green Bay Packers on November 9, 2008, where he said he would return to playing football. "You know what? I'll be back next year," Udeze told the St. Paul Pioneer Press. Udeze was able to get back into good enough condition to return to the Vikings for 2009 pre-season training, reaching the physical form he was in before his illness. He took 26 snaps during a Vikings mini-camp, but struggled with peripheral neuropathy in his feet, a result of his chemotherapy. The chemotherapy-induced neuropathy caused numbness that kept him from being able to plant firmly and create a burst up the field after the snap. Finding himself unable to move at the level he was accustomed to, Udeze decided to retire, which he announced on July 29, 2009.
Post-retirement
During his illness, Udeze decided to return to USC, where he resumed taking classes. In May 2010, Udeze graduated with a degree in sociology. Former USC assistant coach Steve Sarkisian, who had become head coach of the Washington Huskies, hired Udeze as an assistant strength and conditioning coach. He also worked with the defensive line. He also works heavily with charities that help raise money for cancer research. In 2012, Udeze was hired as an assistant defensive line coach for the Seattle Seahawks. In 2013, Udeze completed the Bill Walsh NFL Minority Coaching Fellowship program with the Minnesota Vikings. In 2014, Udeze was hired as an assistant strength and conditioning coach at the University of Pittsburgh. In 2015, Udeze returned to his alma mater, University of Southern California, to work as an assistant strength and conditioning coach, where he rejoined former Washington coaches Steve Sarkisian and Ivan Lewis. In 2016, he was made defensive line coach. In 2019, Udeze was hired as a Defensive Analyst at Louisiana State University, reuniting with his former defensive line coach at USC Ed Orgeron, who is now the head coach at LSU.