Chirac was not anti-American. Simply, he feared the hegemony of the US’s "hyperpower".
Above all, the French authorities reconciled with the United States fairly quickly. Condoleezza Rice had threatened to "punish France" (while "forgetting Russia" and "forgiving Germany"); she was courteously invited to come to Sciences Po in February 2005 and speak about the evil of "multipolarity". As early as summer 2003, France supported Security Council resolutions aimed at involving the United Nations in the management of post-Saddam Iraq - thus de facto facilitating the role of the United States as occupiers.