High school career
Menzie attended Copiah-Lincoln Community College in 2008 and 2009. He transferred to the University of Alabama in 2010. As a senior in 2011, he was an AFCA first team All-American and was a member of the Crimson Tide team that beat LSU in the 2012 BCS National Championship Game. 
Kansas City Chiefs
The Detroit Lions claimed Menzie off waivers on May 15, 2013. He was released as part of final cuts on August 27, 2013.