Walsall would like Cuvelier back on loan next season, but City have yet to decide on the midfielder's immediate future.
The Belgian says his first target is to play games for Stoke, but he enjoyed the pressure of last season's relegation battle with the Saddlers.
He told The Sentinel: "I really enjoyed playing in front of 20,000 crowds in our away games at Charlton and Sheffield Wednesday.
"When I had played in the reserves it was in front of four people and two dogs.
"They were hard games with Walsall, but I enjoyed the pressure.
"I felt a bit nervous, but that made me want to impress more."