The winger, who is on loan at the Potters from Real Zaragoza until January, has won 24 caps at Under 21 level but has never broken into the senior Three Lions squad.
However, 27-year-old Pennant is keen to impress at the Britannia Stadium in hopes of getting himself on the radar of England manager Fabio Capello.
"Every player would love to play for their country and if that ever came it would be a great achievement, but first of all I have to do it for my club," Pennant told The Sentinel.
"I have been in and out of teams and been abroad but now I am back in the Premier League and hopefully will be here for a bit longer.
"If I can do well every week and stay injury free, then hopefully my name will get thrown about a bit."
Pennant is yet to suffer defeat in three appearances in a Potters shirt, helping Tony Pulis' men to seventh place in the early Premier League standings.
And the former Arsenal, Birmingham and Liverpool wide-man is enjoying City's recent run of form.
"Teams have to be on their game to beat us because the Britannia is one of the hardest places to get a result," he said.
"The crowd get behind us and make it very difficult for the opposition."