"Don't want to go to Nashville. Want to stay," Kostitsyn told reporters. "I want to stay here and play in the Canadiens. Now I know everything about Montreal, it's like my second home."
The speculation has suggested that Kostitsyn and defenseman Yannick Weber could be moved to Nashville, where former Habs blueliner Hal Gill ended up last week in a trade.
Kostitsyn, who is set to become an unrestricted free agent this summer, could have some value next Monday to a team looking for secondary scoring.
In 51 games with the Habs this season, Kostitsyn has accumulated 12 goals and 12 assists for 24 points.
The Canadiens, who have fallen to last place in the East, are expected to be a significant seller at the deadline.
Recent reports in New York have linked defenseman Chris Campoli with the Rangers and Devils, and pending free agent Travis Moen is also gathering interest, although there are rumors that the Habs are interested in signing him to an extension.
More Trade Deadline Info
List of Trades
| No-Trade/No-Movement Clauses
| Top 25 Available Players
| Team-by-Team Cap Info