Interim national team coach Josef Pesice has agreed to allow the midfielder time to recuperate in light of his recent injury issues.
The veteran midfielder picked up a knock when last with his national squad in September and, though he recovered sufficiently to feature in the Gunners' last two games, against Napoli and West Brom, club coach Arsene Wenger was concerned about the effect that more games would have on the injury-prone playmaker.
With the Czechs' hopes of qualification for World Cup 2014 all but over, interim boss Josef Pesice has agreed to allow Rosicky some time to recuperate.
"Arsenal have asked us to excuse him for health reasons, so we have called up Borek Dockal," the stand-in coach told the press.
National team director and former Liverpool star Vladimir Smicer explained: "Tomas wasn't completely fit after the [West Brom] game. Arsene Wenger got in touch with me and we agreed not to take Tomas to the qualifiers."
The 33-year-old Rosicky has 93 international caps to his name, having made his debut in 2000, and has scored 21 goals for his country.