Answer by taking a quote from the following article:

Ilya Nikolayevich Bryzgalov ( ( listen); Russian: Il'ia Nikolaevich Bryzgalov; born 22 June 1980) is a Russian former professional ice hockey goaltender. He was selected in the second round of the 2000 NHL Entry Draft, 44th overall, by the Mighty Ducks of Anaheim. He has also played for the Phoenix Coyotes, Philadelphia Flyers, Edmonton Oilers and Minnesota Wild. In 2006-07 season, Bryzgalov won the Stanley Cup with the Anaheim Ducks.

With the re-signing of Giguere to a four-year contract in the off-season and the acquisition of Jonas Hiller from Switzerland, the Ducks attempted to trade Bryzgalov, but were unable to. General Manager Brian Burke claimed he had a deal worked out at the 2007 NHL Entry Draft, but could not finish it. As a result, on 16 November 2007, Bryzgalov was placed on waivers and claimed by the Phoenix Coyotes the following day, on 17 November. In his first game with the team that same day, Bryzgalov made 27 saves for his third career shutout in a 1-0 win over the Los Angeles Kings. Phoenix promptly signed him to a three-year contract extension and he went on to record 26 wins in 55 games for the Coyotes as they battled for a playoff spot, establishing himself as the club's starting goaltender.  Bryzgalov again recorded 26 wins for the Coyotes during the 2008-09 season, though the Coyotes did not qualify for the playoffs. But the 2009-10 season would be a different story for Bryzgalov and the Coyotes, who would qualify for the playoffs for the first time since 2002 on the back of Bryzgalov's 42 victories. The fourth-seeded Coyotes would face-off against the veteran Detroit Red Wings in the Western Conference Quarter-Finals. The series proved to be a see-saw battle that eventually saw Detroit prevail in seven games. Bryzgalov averaged 3.43 goals against per game during the series.  Despite the uncertainty surrounding the Coyotes during the 2010-11 season, Bryzgalov's 36 wins helped them to the sixth seed in the Western Conference and a return trip to the playoffs. Once again, the Coyotes faced the Red Wings. Despite Bryzgalov's strong play throughout the regular season, he struggled in the playoff rematch with Detroit, averaging 4.36 goals against per game as the Red Wings swept the Coyotes in four straight games. Set to become an unrestricted free agent in the off-season, the Coyotes did not meet Bryzgalov's asking price for a contract extension. On 6 June 2011, Bryzgalov's negotiation rights were traded to the Philadelphia Flyers for a third-round pick in the 2012 NHL Entry Draft, forward Matt Clackson, and future considerations. Bryzgalov averaged 33 victories a season the past four seasons with the Coyotes.

When did Bryzgalov join the Coyotes?
on 16 November 2007, Bryzgalov was placed on waivers and claimed by the Phoenix Coyotes the following day, on 17 November.