Gray, who has 14 years of coaching experience in the NFL, has held his position with the Titans for one season, though he was the Buffalo Bills' defensive coordinator from 2001 to 2005. He was the Los Angeles Rams' top draft pick in 1985 and spent nine years in the NFL as a cornerback with the Rams, Houston Oilers and Tampa Bay Buccaneers.
Carmichael has been the Saints' offensive coordinator for three seasons. He was the team's quarterbacks coach from 2006 to 2008.
Again citing a source with knowledge of the situation, the newspaper reported the team also fired offensive line coach Pete Metzelaars, receivers coach Frank Reich and strength and conditioning coach Jon Torine on Wednesday.
Reich, a former backup quarterback in the league, was on the Colts' staff for four years, as quarterbacks coach in 2009 and 2010, and receivers coach last season. Torine spent 14 seasons with the team.