A statement from Shaw was released on Blackburn's official website, www.rovers.co.uk, confirming their interest in the 37-year-old former Portsmouth boss, with a Blackpool statement acknowledging a "formal approach" shortly afterwards.
Despite no further official line from Blackpool it was widely reported that Rovers' bid to secure Appleton as Henning Berg's successor at Ewood Park had been knocked back.
When contacted by Press Association Sport with regards to this, Shaw said: "We're in discussion, if that can be adequate."
Pressed on whether Blackpool had rejected Rovers' initial approach, he added: "I wouldn't like to comment on that. If there's anything later we'll certainly let you know."
Appleton left Portsmouth to take the reins at Blackpool on November 7 following Ian Holloway's departure to Crystal Palace, seven days on from Berg's own appointment at Rovers.
But a run of one win in 10 games, including a 2-0 defeat to Appleton's side at Bloomfield Road in his penultimate match, saw the ex-Norway international sacked after 57 days in charge.
Blackburn have won all three games since Berg was dismissed and last week issued a statement to confirm reserve team manager Gary Bowyer and head of youth Terry McPhillips would remain in caretaker charge until the end of this month.
This would now appear unlikely in light of the Appleton approach and Bowyer is due to address the media ahead of Rovers' trip to Wolves.
Appleton has won two and drawn seven of his 11 Championship games in charge of Blackpool, who lie 14th in the table and six points shy of the play-offs - one point and one place behind Blackburn.