Pulis appeared to suggest that he could be swayed to return to management in south London, while reports continue to imply that he is put off by the Eagles' current plight.
Speaking on ITV4 ahead of Tottenham's Europa League tie with Sheriff Tiraspol, the Welshman said: "Speculation is speculation. I've enjoyed my break but you get itchy feet."
Palace currently sit 19th in the Premier League table with three points from their opening eight games and co-chairman Steve Parish has said he will be looking to appoint a manager with experience in the top tier.
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