The former Newcastle United and Birmingham City boss has replaced Paul Lambert at Carrow Road and is preferring to see what happens rather than pigeon-hole himself with ambitions that may be either surpassed or not met by his players.
"Every season is a tough season and we will be one of a group of eight to 10 teams whose biggest priority will be sustaining Premier League status, but you never know what is possible," he said.
"It was shown here last season in what the team was able to achieve, which surprised a lot of people, as did Swansea.
"However, it is never a good thing to put targets at the beginning of the season, because you never know how it is going to go.
"Ultimately, though, all we want to do is make sure we sustain the progress the club has made and see where it takes us."