Sgt. Alan Quinn said on Saturday that the woman was struck while in the press box Thursday night at Joe Louis Arena, and Murray apologized. Quinn says police took a report and the woman declined to seek charges.
The incident was first reported on Friday by WJBK-TV in Detroit.
The Ducks said Saturday that Murray denies throwing a chair. On Friday, he told the Los Angeles Times that it was a "complete accident."
With the 4-3 win, the Wings advanced to play the Chicago Blackhawks in the conference finals that start Sunday in Detroit.