Palace are without a manager and are keen to get an appointment nailed down with the transfer window opening on July 1.
Palace chairman Steve Parish has offered the Dutch legend the opportunity to manage in the Premier League, according to a report on Thursday from The Sun. Mauricio Pellegrino, the former Valencia and Liverpool defender who excelled at Alaves last season, was also in the frame though it's now thought he will replace Claude Puel at Southampton.
Palace were one point above the relegation zone when Allardyce took over on December 23.
De Boer's record at Inter was five wins, two draws and seven defeats.
Negotiations have been ongoing on De Boer's Crystal Palace contract and have moved "at a rapid pace".
Immediately after retiring in 2006, he began his coaching career with Ajax's underage teams.
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He starred for Holland at France 98 as they went on to reach the semi-finals before being beaten by Brazil.
Ghana worldwide Jeffery Schlupp is set work under Dutch trainer Frank De Boer as the Eagles draw ever closer to confirming the former Ajax manager. Having replaced Roberto Mancini, de Boer was afforded little time to turn things around by the club's hard owners and was sacked after just 14 games.
He had a brief stint at Galatasaray in 2003.
But De Boer was part of the "Velvet Revolution" of former players, many of whom played in the 1995 Champions League winning side, inspired by Johann Cruyff, who turned the club round at the start of the decade.
At Palace, De Boer hopes, things will be different.
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