QPR have earmarked Bowyer as a possible candidate to replace Steve McClaren, who was sacked on Monday.
46-year-old Clark has been out of work since his short stint at Bury two years ago and is keen on a return to management.
Clark has respect for his former Toon teammate and would not get in contact with Charlton about becoming his successor.
But should Bowyer leave The Valley, Clark would be open to speaking with the south-east London outfit.
He told TribalFootball.com: "Obviously they've got a manager in place as far as I'm concerned.
"I know the stories are along the lines if the manager was to leave but I've always been a manager that is open and honest and I would never be putting myself forward for jobs when managers are still in place.
"I know Lee very well, I played alongside him in my last year of playing at Newcastle. I get along with Lee well He's done a terrific job there so theres no surprise that other clubs are looking at him.
"But I'm a manager out of work so if the job becomes available and they want to speak with us then I'd be very much interested."
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