The 25-year-old was linked with a move to Carrow Road in January, but stayed to play Champions League football with Celtic before signing a three-year deal with Chris Hughton's men last week.
"You don't really get a look-in up there," said Hooper regarding his chances of an England call-up while playing in Scotland.
"Down here you've got more chance. The main thing is playing, getting on the pitch first, and doing what I do.
"To play for your country is anyone's dream, but my first dream is to play in the Premier League."
Injury denied Hooper a call-up earlier this year, but he now hopes to impress England boss Roy Hodgson week-in, week-out in England's top flight.
Hooper scored 31 goals for Scottish champions Celtic last season and is the Canaries' seventh summer signing.
He was Celtic's leading goalscorer for the last three seasons, having joined from Scunthorpe in 2010 for £2.4million.
Hughton supports Hooper's ambition and hopes the striker can provide the cutting edge that was lacking last season.
"He's got to play well enough for Norwich City Football Club and score goals and prove that he can do it in this very, very difficult league," Hughton said.
"That's the reason why he's here and that's the wonderful challenge that he has."
Hooper is the second striker recruited this summer by Hughton, following the record signing of Dutch international Ricky van Wolfswinkel for £8.5million from Sporting Lisbon.
Norwich have also signed Dutch midfielder Leroy Fer from FC Twente, Birmingham wing Nathan Redmond, left-backs Javier Garrido and Martin Olsson plus goalkeeper Carlo Nash.