Speculation in German newspaper BILD on Tuesday claimed that Bruce was planning to meet Scharner's agent prior to the Tigers' friendly against Eintracht Braunschweig.
However, after the Premier League club were beaten 2-0 by Braunschweig, Bruce confirmed he is not looking to sign Scharner.
"That's one I can say no to," Bruce told the Hull Daily Mail. "Obviously there's a link there but no."
Scharner, who can play in defence or midfield, spent the second half of last season on loan at former club Wigan Athletic and he has also featured for West Brom in the Premier League.
The 33-year-old has a further 12 months to run on his Hamburg contract, but has reportedly been told he is surplus to requirements.
The Austrian is now facing an uncertain future and Scharner concedes that all options are open before the transfer window closes.
"Those talks I had with the club seem to have been declared null and void," Scharner told BILD. "Once I was told I would not get kicked out of the club.
"My situation is that I could move on. I could join the reserves, I could start a war or quit the game. Even this has become an option in my case."
Meanwhile, Evian midfielder Eric Tie Bi played the first half of Hull's friendly against Braunschweig as he looks to follow former team-mate Yannick Sagbo to the KC Stadium.