Rosicky returned to training last week following a minor setback after a prolonged period on the sidelines.
Gunners boss Arsene Wenger was reluctant to use Rosicky in Saturday's 2-1 loss at Manchester United as he deemed the fixture "too intense".
But the 28-year-old could make his competitive return this weekend when the Czech's tackle Slovakia.
Czech Republic then face San Marino four days later as they look to climb up from their current position of fifth in Group 3.
Rosicky told sport.cz: "There has been no trouble in training for Arsenal but I must try out some things yet, as the training sessions were rather light. Anyway, I believe I will be prepared."
Of his exclusion from the squad to face United, he said: "He [Wenger] told me I would not go because he did not want to take the risk.
"Of course, he was not excited when I told him I would be going to play for my country. But there is no reason for me not going. If I am 100 per cent, then why couldn't I play?"
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