The French defender's progress over his first season in England has brought him to the attention of bigger clubs.
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Lacroix joined Palace a year ago from VfL Wolfsburg and helped in their stunning FA Cup winning campaign.
L'Equipe says Lacroix is now on the radar of Tottenham and Borussia Dortmund, which both can offer him Champions League football this new season.
Lacroix's contract with Palace extends until the summer of 2029.