Shelvey, 21, moved to the Welsh club from Liverpool for £6 million on July 3, signing a four-year deal and ending a frustrating spell at Anfield.
|125/1||Swansea are 125/1 with BetVictor to finish in the top four this season
And the one-time England international believes moving to Swansea does his chances of a call up from Roy Hodgson no harm.
"If I play every week, I feel I can get in the England squad," Shelvey told reporters.
"I'm sure Roy Hodgson's not bothered who you play for. Look at Ryan Shawcross at Stoke.
"They're not a massive club so I don't think it will affect me coming here.
"It’d be part of Swansea history as they've never had a current England international before."
Shelvey made nine starts for Liverpool in the English Premier League last season and came off the bench 10 times.
But he was unlikely to break into Brendan Rodgers' first team any time soon and said the move to Swansea was all about getting more playing time.
"I've been frustrated for three years and it was time to try and make a name for myself," Shelvey said.