Greene, a nine-year Canadian Football League (CFL) veteran, spent much of his career with the Saskatchewan Roughriders.
At Pickering High School in Ajax, Ontario, Greene lettered in football, basketball, rugby, and track & field.
Greene joined the Roughriders in 1997 after spending time with the Miami Dolphins, Seattle Seahawks and Jacksonville Jaguars of the NFL.
On February 21, 2007, Greene signed as a free agent with the Winnipeg Blue Bombers, starting all 18 games for them.
Saskatchewan Roughrider Club President/CEO Jim Hopson stated, "When a player such as Andrew wants to end a long successful career in Green and White, we gladly do our part to help.