Goree grew up in Halifax, Canada. He began his acting career at age six in Sesame Park, the Canadian version of Sesame Street. In 2003, he hosted The Big Black Rap Show on the Canadian campus radio station CKDU-FM. In 2006, he became one of the hosts for the last season of the CBC TV series Street Cents. In the same year, he also began working as a freelancing Journalist for Canada Now.
From 2007 to 2009, he was cast as Malik in popular Global TV series Da Kink in My Hair. He also appeared in the Vision TV series Soul.
On stage, Goree played the lead role of Jake in the 2009 critically acclaimed play Secrets of a Black Boy.
Between 2010 and 2013, he appeared in the mockumentary Pure Pwnage as well as guest roles in The CW's fantasy horror series Supernatural, The CW's medical drama Emily Owens, M.D., Showcase's sci-fi miniseries Eve of Destruction and CTV's police crime drama Motive.
In 2014, he was cast as Wells Jaha, one of the main characters in the first season of The CW's post-apocalyptic drama show The 100.
His first starring role in a feature film was in the 2016 sports-drama film Race.
