Pulis saw his Potters make the last 32 of the Europa League this season before losing out to Valencia.
The Welshman said: "If they get into the Champions League then it's a fantastic achievement for them.
"If they don't and it's the Europa League, they'll enjoy that as well because it's a fantastic tournament.
"We got to the last 32 and we loved it. The team that knocked us out are now in the semi-finals.
"For clubs like Newcastle, European football at St James' Park - I'm not using the other name - would be absolutely fantastic."