Rosicky was replaced by Samir Nasri for their Carling Cup defeat of Tottenham.
The 29-year-old thinks it could be a while before he is put on the spot again.
"He [Nasri] took both penalties great so I think [I will stand down]," Rosicky told arsenal.com. "I took the ball [against Sunderland] and spoke with Samir and Marouane Chamakh and they both weren't sure about it - so I said I will take it.
"But Samir took them well against Tottenham so that's the end of the story I would say."