"I won't give up until I retire, but you have to be doing it week in, week out at club level," he said.
"I've been in and out of teams and abroad but now I'm back in the Premier League I'll play the best I can and see if that chance comes up."
The former Arsenal, Liverpool and Birmingham midfield player joined Stoke on loan from Spanish side Real Zaragoza in August.
Stoke manager Tony Pulis has already backed the international claims of defender Ryan Shawcross and winger Matthew Etherington, and with the team sitting seventh in the Premier League, Pennant believes he has joined a squad featuring several potential internationals.
"I think the Stoke City players have done very well, I think [England manager] Fabio Capello is just going with what he's had and bringing in a few new faces, but he's probably trying to keep things steady.
"That England job's a very hard one to do, you've got to be careful who you pick.
"I'm sure if the Stoke team and the Stoke players keep doing what we're doing, there might be a few more new faces in there," Pennant told BBC Radio Stoke.
Source: BBC Sport
Source: BBC Sport