Giroud and Laurent Koscielny both achieved last Sunday's last with host country France, while Germany's Ozil and Wales midfielder Aaron Ramsey were disposed of in the elimination rounds.
Also, Wenger said those players will require some additional rest before being prepared to play once more.
"You consider the rest time since France had a long, long go and I trust that they require four weeks' vacation since they have to recoup from that," Wenger told the Arsenal site.
"It takes both of you or three weeks to recover. So general I trust that the greater part of them we are giving four weeks occasion to recuperate totally, and they have to return with craving. That failure to lose a last, it takes some an opportunity to recuperate from that."
For Giroud and Koscielny, that would mean reporting back to preparing on Aug. 8 - only six days before Arsenal has Liverpool in their first Premier League match of the season.
As Arsenal are flying out to Scandinavia for preseason recreations the past Friday, Ozil is unrealistic to be back before then too.
With Alexis Sanchez as yet nursing a lower leg damage subsequent to helping Chile win the Copa America in June, it could leave Wenger short on assaulting choices unless he figures out how to sign another striker in the exchange window.
Keeping in mind the worldwide competitions may influence his own group's begin to the season, Wenger said he was satisfied to see his players do well.
"Aside from England - who obviously turned out somewhat early - a few players had an extremely positive affair, similar to Aaron Ramsey with Wales, Alexis with Chile - they won again the Copa America so that is obviously a fabulous accomplishment since they were far from home this time.
"The French players, Giroud and Koscielny, had a decent competition [even if] they didn't complete and in addition they trusted.
"I think Ozil had a decent competition also. I met him after the amusement with France, he was obviously extremely frustrated yet the vast majority of them had great exhibitions."
Britain's initial way out implied Jack Wilshere was back in preparing on Friday, alongside Costa Rica's Joel Campbell.