Pennant has 24 England Under-21 appearances but has never won a senior cap.
The 28-year-old revealed earlier this month that he was eligible to play for the Republic of Ireland through his grandfather.
He said: "I'd like to play international football, whether it's with England or Ireland.
"Who's to say Ireland can't get to the World Cup? If I could be a part of that with Ireland, that would be great."