Stones has already become a pivotal part of Guardiola's team as City have made a 100 percent start to the season.
And he is expected to play a similar role for England during their World Cup qualifying campaign.
He admits it's his ambition to wear the armband for both.
“I'd like to be captain one day," he told the Manchester Evening News. “Every player wants to be captain of their team and to do so for years to come.
“It's a privileged position to be in to captain your club and country.
These are dreams you dream about when you're a little boy. You have to deserve the right to be captain but I'd love to be one day and I'll keep working hard to try to be."