Brodin blocked a shot in Thursday’s loss to the New York Rangers, and has since been placed on injured reserve.
The 22-year-old Swedish blue-liner averages 20:23 of ice time per game, the fourth most among Wild skaters, and plays on the penalty kill. He has six points in 50 games this year, and his name had been brought up in trade rumours as the Wild have struggled lately with just one win in their last 10 games.
Fletcher did say that although the team has fallen out of a playoff spot, that head coach Mike Yeo is "safe."
The Wild have also recalled forward Tyler Graovac from Iowa of the AHL.
Graovac was drafted in the seventh round, 191st overall in 2011. The 6-foot-5 centre has two goals and five assists in 19 games with Iowa this year.
He made the Minnesota roster out of training camp but was injured in the opening game of the season against the Colorado Avalanche, needing bilateral core muscle repair surgery on Nov. 3.
The 22-year-old was activated and sent to Iowa on Dec. 12.