The 34-year-old Scot has signed a new longer-term contract at Carrow Road after taking the Canaries from seventh place when he arrived in January to the top flight following a play-off victory over Middlesbrough.
It will be opposition of a different standard for former Hamilton boss Neil, however, when he prepares his team to face the likes of Arsenal, Chelsea, Manchester United, Liverpool and Manchester City later this summer.
“I wouldn’t say that there is one period I look at and think ‘that’s a concern’, even though if you are not performing well in the Premier League then it is all going to be a concern,” Neil told the club’s website following publication of next season’s fixtures, where his side kick off with a home match against Crystal Palace.
“If you are doing your job properly, you are prepared and you are functioning well, then any game is winnable.
“We have just got to go into any game full of confidence and try to do as best we can. We are really looking forward to it, and hopefully we can get off to a good start.”
“We haven’t got any of the ‘big boys’, if you like, in the first few games. Obviously you want to start the season and try to get points on the board as early as you can.
“Certainly looking at the fixtures it gives us a good opportunity to do that, but as we know every game at this level will be tough.”
Norwich will continue to look to strengthen the squad, having made the loan move of Scotland midfielder Graham Dorrans from West Brom permanent.
Striker Kyle Lafferty, meanwhile, will be hoping to resolve his future after the Northern Ireland forward spent the second half of the last campaign on loan at Turkish side Caykur Rizespor.
Lafferty, who signed a three-year deal with an added 12-month option last summer, has expressed his desire to stay at Norwich and be a key player in Neil’s plans.