"I've been approached about next year," Francis told BBC Radio Stoke. "But I'll have to think about it.
"I've really enjoyed being here, but the travelling has been tough. I've done 60,000 miles since I arrived."
Former England captain Francis, who managed in the Premier League with Tottenham and QPR, is based in London and has been making the journey north to help Stoke in training and on match days.
The Potters secured their top-flight status with Saturday's 2-1 win at Hull.
Who is your manager of the season? And Francis, Pulis's former manager at Bristol Rovers, insists that the Stoke boss should be a contender for manager of the season.
"It's a fantastic achievement," said Francis. "Nearly everybody I know said that we would go down.
"Whoever wins the title will probably win that award but, for me, Tony should definitely be in that category."