Manager Tony Pulis has hailed Stoke's first venture into European competition for 37 years as "a bit special".
The Potters qualified for the Europa League after FA Cup final opponents Manchester City cemented their place in next season's Champions League with a 1-0 victory over Tottenham on Tuesday.
"You would not have dreamed of it a few years ago," said Pulis.
"Stoke in an FA Cup final, perhaps finishing in the top 10 and being in Europe. It is a bit special."
Meanwhile, Pulis said he will wait until close to kick-off before deciding whether to name injured pair Robert Huth and Matthew Etherington in his line-up for Saturday's Cup final.
Defender Huth suffered a knee injury against Arsenal last weekend while winger Etherington tore his hamstring and was carried off in the 3-0 win over Wolves the previous week.
"They are going along nice and steady at the moment and doing light training," added Pulis.
"We will give them right up until the game. It will be a last-minute call.
"They will have fitness tests and then I will speak to the medical team. We will decide whether it is worth the chance or it is too risky.
"The two of them are desperate to play. We are desperate for them to play but it is just whether it is right for the team."
"My most difficult selection decision? Yes it is, in respect of it being such a big game. It is important we get it right for the club and the team."