The following season, Morris was traded for the second time in as many campaigns, this time to the Phoenix Coyotes. He completed the 2003–04 season playing in 14 games and recording 2 assists with the Coyotes after being traded. He finished with a combined 32 points. In his first full season with the Coyotes in 2005–06, Morris tallied 28 points in 53 games, then recorded back-to-back 25-point seasons the following two campaigns. On March 4, 2009, Morris was again dealt at the trade deadline, this time to the New York Rangers. He did not re-sign with the Rangers in the off-season, instead signing a one-year contract with the Boston Bruins worth $3.3 million on July 24, 2009. On March 3, 2010, Morris was traded back to the Coyotes for a conditional fourth-round pick in the 2011 NHL Entry Draft. After the season, Morris signed a four-year, $11 million contract extension with the Coyotes. With Phoenix, Morris went deep into the 2012 Stanley Cup playoffs. His highlight of the playoffs was a shot from centre ice in Game 1 of the Conference Finals that beat Los Angeles Kings netminder Jonathan Quick. However, the Coyotes lost the series in five games. Though he never officially announced his retirement, Morris has not been active since the 2013–14 season. Morris has represented Canada on three occasions at the World Championships. After appearances in 1999 and 2001, he won his first gold medal with Canada at the 2004 World Championships in the Czech Republic. He contributed five assists in the gold-medal effort. Morris and wife Jodie have three sons: Traiten, Presley and Asher. He coached for his son Presley's team, The Jr. Coyotes 02 AA, and also for eldest son Traiten's team, The Jr. Coyotes 00 AA. Morris settled in north Scottsdale, Arizona. In the summers, he and his family return to Alberta. Morris is currently an assistant high school coach with Chaparral High.