Puempel was demoted to AHL Grand Rapids on Sunday.
The Red Wings recalled Puempel from AHL Grand Rapids on Friday.
Puempel was designated for waivers by the Red Wings on Sunday, Renaud Lavoie of TVA Sports reports.
Puempel signed a two-year contract with the Red Wings on Sunday, Kyle Kujawa of the team's official site reports.
Puempel, a pending restricted free agent, received a qualifying offer from the Red Wings on Monday, Ansar Khan of MLive.com reports.
Puempel was traded to the Red Wings in exchange for the Rangers acquiring defenseman Ryan Sproul.
New York placed Puempel on waivers Thursday.
Puempel said he wants "to play harder, be more physical" this season, which includes fighting more, the New York Post reports.
Puempel agreed to terms on a one-year contract with the Rangers on Wednesday, Brett Cyrgalis of the New York Post reports.
Puempel recorded three shots on goal in Wednesday's loss to Washington.