The Committee of Ministers took the decision in a special session, the rights body announced in the French city of Strasbourg.
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The 34-year-old, who joined PSG on a two-year deal after leaving Barcelona, has only trained for two days since winning the Copa America with Argentina in July.
Neymar marked his return to action for Paris Saint-Germain for the first time in four months with a stunning overhead kick in injury time that gave his team a 1-0 win over Strasbourg on Saturday.
A monument marking the site of a synagogue destroyed during the Nazi occupation of France was found vandalised on Saturday, authorities in the eastern city of Strasbourg said.
The principality club have failed to win in 11 games in all competitions since the opening weekend of the French top-flight season, and are only above bottom team Guingamp on goal difference
Henry who begins with a trip to Strasbourg on Saturday faces a big task to revive the club where he started his glittering playing career.