The Blues boss has explained that he was simply answering a question posed at a fans forum regarding whether he would be interested in signing the former Charlton Athletic player.
"I was asked a question at a forum for a radio station," Bruce told Sky Sports News.
"He threw the question at me 'would you like to sign Scott Parker' and I said 'yes, and probably 90% of the Premier League clubs would like to as well'.
"The one thing I don't like to do is talk about other clubs players and I don't like it when they talk about mine either.
"He is a very, very good player so if he became available then of course we would be interested but he's Chelsea's player so lets respect that.
"If there is anything doing then we would be genuinely interested."