The former Liverpool, Leeds and Blackburn centre-back was released at the end of last season, but boss Tony Pulis has allowed him to return for pre-season training.
Matteo was club captain at the Britannia Stadium last season, but failed to feature for the Potters after sustaining a foot injury in November.
With Stoke preparing for their first-ever season in the Premier League, Matteo is eager to be involved.
He told the Stoke Sentinel: "If something comes of it here then brilliant. Who would turn down that chance if it came around? You would have to be daft.
"But first and foremost I have come here to work hard.
"I have missed last season though a bad injury and I have come to work hard and see what happens.
"I am up for a challenge wherever it may be. If it is here, then great, but I will be up for it wherever it is."