"I cannot talk at this time," Muckler said when reached by The Canadian Press.
A Senators spokesman also refused to comment on reports that there is front-office shakeup in the works.
The 73-year-old Muckler was fired Saturday, according to a Media report, with an announcement of his departure expected as early as Sunday.
There's also speculation Bryan Murray, whose contract as head coach expires June 30, could be promoted to GM.
Murray also wouldn't comment Sunday.
"I can't really say anything at this point," Murray told CP.
The Senators went an impressive 48-25-9 in the regular season, and advanced to the Stanley Cup final, shaking off the tag of post-season underachievers. But they seemed to run out of steam in the final, losing to the Anaheim Ducks in five games.
Despite the disappointing final result, at the end-of-season news conference, Muckler, who has one year left on his contract, said he had every intention of returning for his final year and had no desire to leave.
"I'm having too much fun," he told reporters.
Muckler, a five-time Stanley Cup winner with the Edmonton Oilers, joined the Senators in June of 2002.
The Sens GM also said at the wrap-up news conference he wanted to stick with Murray. The two started contract talks when the season ended, and the staffing picture was expected to become clearer by the time teams gather for the draft that begins Friday in Columbus.
"I'm a coach and being the coach is what I expect I'll be if I'm anything," Murray said then.