Appleton, who was only appointed as Blackpool boss on November 7 following Ian Holloway's departure to Crystal Palace, emerged on Tuesday as the surprise bookmakers' favourite to succeed Henning Berg at Rovers.
And Blackburn on Wednesday evening confirmed they have been in touch with their npower Championship counterparts in the hope of talking to the 36-year-old.
A statement on Rovers' official website, www.rovers.co.uk, attributed to managing director Derek Shaw, read: "I can confirm that we have made an official approach to Blackpool FC about our interest in speaking to Michael Appleton.
"This is the only candidate we have approached for the managers' job".
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