Cody was one of the top-ranked junior players in the US and one of the most heavily recruited players from college. He enjoyed a collegiate career at the University of Texas, which included NCAA All-American Honors and a 2012 NCAA Team National Championship. He made his professional debut at the 2013 FedEx St. Jude Classic via a sponsors exemption and claimed his maiden PGA Tour victory at the 2016 Sanderson Farms Championship.