After graduating from university, Graddy played professional football for the Denver Broncos (seasons 1987 and 1988) and for the Los Angeles Raiders from 1990 to 1992.
After graduating from university, Graddy was drafted by the Denver Broncos in the 1987 NFL Draft. He played seasons 1987 and 1988, and signed with the Los Angeles Raiders, where he played from 1990 to 1992.