The 25-year-old winger has been linked with Roma as a potential replacement for Liverpool-bound Mohamed Salah, who Jurgen Klopp's side bought for over £36 million, which could rise by another £7m due to add-ons
But Stoke insist there is no substance to the rumours about Shaqiri, who revealed earlier this month he only wants to leave the Premier League club for "a step up".
"No, there is nothing in that," Stoke chairman Peter Coates told the Stoke Sentinel.
"There are no plans to sell him either. He seems very settled with us and towards the end of the season he came back [from injury] and did well.
"We are settled with him, too, and are hoping to see a good season from him next season."
He still has three years left on his contract after scoring four goals and assisting a further two in 21 Premier League appearances last season.