Allardyce, who steered Palace away from relegation last season before resigning in May, confirmed he spoke to club chairman Steve Parish but said he was "not ready".
"I wouldn't feel comfortable taking a manager position, I am enjoying my life too much," Allardyce told Sky Sports on Monday.
"I spoke to Steve (Parish) late this afternoon and said that for me, I wouldn't be ready to come back.
"He didn't offer me the job, he just asked me, 'What are your thoughts?' I told him that at this moment in time, I wouldn't want to go back in."
According to British media, Former England boss Roy Hodgson is set to replace De Boer before they host Southampton in the league on Saturday.
Palace are rooted at the bottom of the league standings after suffering four straight defeats without scoring a goal.
(Reporting by Hardik Vyas in Bengaluru; Editing by Amlan Chakraborty)
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