The Arizona defenseman has not played since having knee surgery after being injuring against the Calgary Flames on April 3. Chychrun had 14 points (four goals, 10 assists) in 50 games last season.
The Coyotes, 1-2-1 in their past four games following a five-game winning streak, have scored at least four goals in seven of their past nine games.
The Red Wings, looking for their fourth consecutive victory, can become the second team in NHL history to rally from being down by multiple goals to win four straight regular-season games. The first was the Carolina Hurricanes from Oct. 24-29, 2005.
Detroit is 6-1-0 in its past seven games after beginning the season 1-7-2.