"They're shaken and they want to reschedule. We understand that," John Davidson, the Blue Jackets president of hockey operations, told Fox Sports Ohio. "They were shaken to the core."
Peverley missed the preseason and the season opener because of a procedure to correct an irregular heartbeat, a condition diagnosed during a training camp physical. He made his Stars debut on Oct. 5 against Washington.
"We monitor him closely for a different type of arrhythmia he has," Salazar said. "He does have a pre-existing condition, and the condition — a normal quivering of the heart that does not allow him to send blood to places where he needs to, in his brain and heart."
Peverley sat out last week's game at Columbus because of an irregular heartbeat. He had felt strange after last Monday's game and couldn't fly. He played in Dallas' next two games before Monday.
"There wasn't any concern," Ruff said. "Our doctors have done a fabulous job monitoring the situation."
In 62 games this season before Monday, Peverley had seven goals and 23 assists.
He was acquired last July from Boston with forward Tyler Seguin and defenseman Ryan Button for forwards Loui Eriksson, Reilly Smith and Matt Fraser, and defenseman Joe Morrow.
"The first thing (Peverley) asked me was how much time was left in the first period," Ruff said.
The Stars went to the airport after the postponement, and even had a scheduled departure for St. Louis that was earlier than it would have been if the game was played. Dallas is scheduled to play the Blues on Tuesday night.
"He's going to be OK," Ruff said. "The care he's getting and the care going forward is the most important thing."