NHL senior vice president of player safety Brendan Shanahan said the hit was a violation of rule 42.1 (charging) and resulted in an injury to Niederreiter, who is out with a concussion.
"We'll live by the suspension," said Stars general manager Joe Nieuwendyk. "I think it's a very difficult job that Brendan Shanahan does and I respect the job that he is doing. We'll live with it."
The suspension will cost Fistric $16,216.23, which goes to the Players' Emergency Assistance Fund.
The Stars sent Barch and a sixth-round pick in the 2012 NHL Entry Draft to Florida for left wing Jake Hauswirth and Florida's fifth-round pick in 2012.
"I want to thank Krys Barch for his time that he spent here," Nieuwendyk said. "I think he's been a good teammate and a good warrior. He stuck up for his teammates and he did everything you want him to do in that role. He was looking for more of an opportunity to be a contributor, we respected that and we wanted to work with him. We found a team that might be a good fit for him."
Barch, 31, has played 263 NHL games, all with Dallas, and has registered 26 points (10 goals, 16 assists) and 578 penalty minutes.
Hauswirth, 26, currently plays with Rio Grande of the Central Hockey League.
The trade should allow the Stars to keep forward Tomas Vincour, who has been up with the team due to injuries.
Mark Stepneski covers the Stars for ESPNDallas.com.