The Canaries impressed during the last campaign and boss Chris Hughton will have had a few sleepless nights in recent weeks with fitness concerns to new striker Gary Hooper and Bassong.
But both appear to be on the mend and although defender Bassong is unlikely to feature in their opening fixture at home to Everton, optimism is running high among Hughton's troops.
"I hope we will stay in the Premier League and try to be settled as a proper Premier League team," Bassong told Sky Sports News.
"We will try to improve the squad and our game and that's the main target. Last year we finished 11th and we want to get around this position again and why not higher?
"The club have added two new faces (striker Ricky van Wolfswinkel and Hooper). They are quality players and they are really good lads and have settled in well. We all hope we're going to start well."
Norwich's visit to Hull on August 24 is a more likely season starter for Bassong and it is welcome news for the defender who missed the end of the last campaign with a knee injury.
"I have found it hard and I've been working a lot with a new physio to get us back on track," the France-born star added.
"I have had surgery and I need a few minutes in training games but hopefully I'll be available next week."
Regarding the scrap for the Premier League trophy, Bassong said: "It will be a tough battle. There are loads of big teams getting stronger. There is no gap now."