Neal, who has four-years remaining on his current contract, responded Saturday via Twitter and shot down the speculation.
"All of these rumors couldn't be further from the truth," he tweeted. "I love being a Pittsburgh Penguin. I hope to remain a Penguin and win as a Penguin."
Neal picked up 27 goals and 34 assists for 61 points in 59 games with the Penguins this season.
With somewhat limited salary cap space, given the team only has 14 players signed for next season, the Penguins will need to be creative in how they spend their balance to fill up their roster.
As a result, the Penguins may not be able to re-sign rising star defenseman Matt Niskanen.
Trading Neal, however, does not appear to be in the cards.