[3] Brazile also performed well in pass coverage and against the run, consistently ranking at or near the top for the team lead in tackles even though opponents often avoided his side of the field.

After a third straight postseason loss in 1980, Phillips was fired by Oilers owner Bud Adams and the team entered a period of steep decline.

[9] On August 24, 2017, Brazile and former Green Bay Packers guard Jerry Kramer were named as seniors committee finalists for the Pro Football Hall of Fame Class of 2018.

Robert Brazile was inducted into the Pro Football Hall of Fame on Saturday, August 4, 2018, and his bust was sculpted by Scott Myers.

[11] After retiring from the NFL, Brazile, along with ex-Oiler teammate Ken Burrough, coached for a minor league pro team in Mobile, Alabama.