Parquet was a two time All State and All District offensive tackle in high school at Destrehan High School.
College career
Parquet played college football at Southern Mississippi where he played in 44 games starting 39 of them. Starting at offensive guard as a Freshman and Sophomore and at offensive tackle as a Junior and Senior. Parquet was voted team captain as a Junior and Senior as well. He graduated with a degree in Coaching and Sports Administration in December 2003.
Parquet spent the last five weeks of the 2006 season on the active roster.
He spent 2007 off and on the practice squad and active roster.
Pittsburgh Steelers
On January 2, 2008, he was added to the Steelers active roster.
Parquet spent the first six weeks of the 2008 regular season on the Steelers' practice squad. He was promoted to the active roster on October 18 after the team waived defensive tackleScott Paxson.
Parquet was waived by the Steelers during final cuts on September 5, 2009.[2]