The World Cup-winning French team returned home to a heroes' welcome on Monday, parading down the Champs-Elysees as hundreds of thousands of cheering fans gave a raucous welcome to the country's newest idols.
"These cases must be brought to our attention so that investigations can be carried out", Michel Delpuech said on Europe 1 radio.
Despite numerous Parisian population spending much of the night in delirium, they were still out in numbers for France's return and trophy parade.
Other victims posted that they had not filed charges, saying they did not believe the police would pursue their cases since their aggressors quickly fled into the crowd.
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President Emmanuel Macron was to welcome the team back to Paris on Monday and thousands were expected to turn out to watch the players to ride down the Champs Elysées in an open-top bus.
Macron cradled the head of France's coach Didier Deschamps during the ceremony.
About 30 people, many wearing ski masks, broke into the Publicis Drugstore and later left with bottles of wine and champagne, some smiling and filming themselves with cellphones. The Etoile station is, for now, "On a 2 Etoiles" (We have 2 stars), to denote France's second victory in soccer's World Cup.
The Louvre museum congratulated the team on its success by tweeting an image of its most famous exhibit, the Mona Lisa, resplendent in the two-starred shirt.
And in London, the Piccadilly line station Southgate was given a temporary makeover and rebranded Gareth Southgate in honour of the England manager who took the team to its first World Cup semi-final since 1990.