Pardew has not worked in the Premier League for several years, having managed Crystal Palace in the past as well.
Vincent Kompany's move to Bayern Munich has left the door open at Burnley, who were relegated to the Championship but are one of the favorites for promotion in 2024/2025.
Speaking on talkSPORT, Pardew said: "It’s nice to be linked with them, if nothing else.
"I think the squad is good enough, the ownership is well organized and have got finances to - maybe they’re in a better position than Leicester were last year to rebound. So I think whoever gets the job, it’s going to be a great opportunity.
"For myself, it’s a great challenge that I would like to do because I’d like to take a team back to the Prem. I did it, I set teams up to go back to the Prem. West Ham, Southampton. So yeah, I would be open to it.
"Whether that’s known, and that’s the rumor that’s gone out rather than the actual link, I don’t know."
Asked if he had held talks with Burnley, Pardew replied: "I wouldn’t tell you if I had!"