The Brazilian duo have both been linked with exits from the Emirates as Mikel Arteta prepares an overhaul of his squad this summer.
33-year-old Luiz was expected to depart when his contract expires at the end of the season.
However, football.london understands that Luiz has not ruled out staying at arsenal as he assesses all his options.
Willian is under contract until 2023 and has no plans of leaving north London, despite failing to impress in his debut season at the club.
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