"There are other steps and it starts on Wednesday. Let's be happy with what we've done tonight even if it's not enough. At least we broke the (defending champions') curse," he added.
The Manchester United midfielder broke his nose in the Champions League final against Chelsea but played through the pain barrier to win the medal he missed out on nine years ago.
French midfielder Claude Makelele is to join Paris St Germain from Chelsea, the Ligue 1 club said on Monday. Makelele, who joined Chelsea in 2003 from Real Madrid, won 68 caps before announcing his retirement from international soccer after France's exit from Euro 2008.
France defender Lilian Thuram is to continue playing for his country after holding talks with national coach Raymond Domenech.
Lilian Thuram and Claude Makelele announced their international retirements after France were eliminated from Euro 2008.
Thierry Henry believes France have to build on their achievement in Germany World Cup.
The French midfielder's move to London went through as planned, despite a disagreement over the player's cut of the transfer fee.
The duo return to the squad for next month's World Cup qualifiers against Israel and the Faroe Islands.
The defending champions will also be without Zidane's Real Madrid team mate Claude Makelele for the Confederation's Cup.
The midfielder told some of his France team mates after their World Cup qualifier on the Faroe Islands that he was quitting international football.
Angry Chelsea manager Jose Mourinho said his player is being treated like "a slave" by France coach Raymond Domenech.
The departing Didier Drogba threw down the gauntlet to the young Chelsea squad on Sunday as he led Premier League celebrations at Stamford Bridge, telling them they had to win more titles to stand comparison with the class of 2005.