2004, where they lost to the Pittsburgh Steelers In 2005, a year marred by injuries, inconsistent play, lack of player development, and rumors swirling about Edwards possibly leaving the organization, Edwards led the Jets to a woeful record. Following the end of the season, the Jets made the highly unusual move of trading a coach—Edwards—to another team (the Kansas City Chiefs), in exchange for a player to be chosen in round four of the 2006 draft. Overall, Edwards' tenure as head coach of the Jets was marred by chronic clock management problems, an ultra-conservative "play not to lose" mentality, and a lack of any discernible defensive philosophy, despite Edwards' supposed expertise in the Cover 2 defense. The Jets replaced Edwards by hiring Eric Mangini, a senior assistant coach with the New England Patriots. Departure from New York Following the 2005 season, Chiefs president Carl Peterson hinted to the press about interest in hiring Edwards that could have been considered tampering. The Jets granted permission to the Chiefs to speak with Edwards. At the time, Edwards had two years remaining on his contract with the Jets. However, Peterson wanted Edwards (a longtime personal acquaintance) to succeed head coach Dick Vermeil, who was Edwards' coach on the Eagles and had just retired. As the rumors started swirling, a war of words between the two teams began to start up in the media. In the midst of all the speculation, Edwards tried to use what leverage he thought he had with the Jets to get a contract extension and hefty pay raise from the Jets, which only served to further anger the club's owner. Eventually, the two teams worked out a deal, and the Chiefs sent the Jets a fourth-round pick in the 2006 NFL Draft as compensation (the Jets later used this selection to take Leon Washington). Kansas City Chiefs Edwards' regular season coaching debut with the Chiefs was a home loss to the Cincinnati Bengals on September 10. His first win with Kansas City came in the third game of the season on October 1, a 41–0 shutout of the San Francisco 49ers. The 2006 season would see many highs and lows. Starting quarterback Trent Green suffered a serious concussion in the first game of the season. Despite Green's injury, the Chiefs continued to stay in contention, largely thanks to backup quarterback Damon Huard and Pro Bowl running back Larry Johnson.