Shawcross was called up to the senior Three Lions squad for the first and only time in early 2010 and did not get on the pitch to make his debut, but his prospects may have been enhanced by fellow centre-back John Terry's recent retirement from international football.
It would appear the likes of Joleon Lescott, Gary Cahill and Phil Jagielka are ahead of Shawcross in the pecking order, but he has been in fine form this season and has made it clear he is not interested in representing Wales.
Ahead of next month's World Cup qualifiers against San Marino and Poland, England boss Roy Hodgson may well have Shawcross in mind.
No matter what happens on that front, though, Pulis is confident the 24-year-old's club performances will not be affected.
"Roy has managed in the Premier League, so he knows Ryan," said Pulis, quoted in The Sentinel.
"If he thinks he's good enough for England then great; if not, that's up to Roy and is fine with me.
"Ryan just needs a chance. If he gets it, then brilliant - and I'm sure he'll take it. If he doesn't, then he will just soldier on.
"I don't think it affects him. He hasn't been selected yet and his performances have been very good."
Pulis' team - with four draws and a defeat from their five Barclays Premier League games so far this term - are at home on Saturday against a Swansea side adjusting to life under new manager Michael Laudrup.
The Dane replaced Brendan Rodgers over the summer and the Swans made a bright start to the campaign, taking seven points from their first three league matches before suffering back-to-back losses against Aston Villa and Everton.
Laudrup has a tough act to follow in succeeding Rodgers, who had guided the Welsh team into the Premier League in 2011 and then an 11th-placed finish, but early signs have been encouraging, with new signing Michu particularly standing out after scoring five goals in all competitions.
The midfielder, recruited from the Spanish top flight where Laudrup had previously been working, is among a clutch of players the new boss has brought in from around the continent and Pulis feels his counterpart has made some shrewd moves.
"He has had to change it around because there are a few players who have gone," Pulis said.
"But the players he has brought in...people talk about Michu, who has done exceptionally well and scored goals, but the other players he has signed - he has a good knowledge of the European leagues and he has brought some good players in.
"It will be a tough game."
Pulis has a fully-fit squad to select from for the Swansea clash, although one player who will not feature is Potters defender Andy Wilkinson, who serves the second match of a three-game suspension.