The Spaniard led the Magpies to the Championship title last season after being relegated from the Premier League in 2016.
"When I start something I put all my passion into it. I will try to do my best and hopefully everything will be fine," Benitez told the Daily Mail.
"The things will be done in the right way and we can build what we want to build, a strong team and a strong club that can compete in the Premier League for everything.
"When I say everything, I don't say the title, but why not? Everything means we have to be consistent. If you have the FA Cup, you can be there.
"It is not Rafa saying he wants to win the league, no. I want to be competitive and after we can win a trophy or you can win the league.
"You never know. It will be more difficult with every year, but for sure, you have to try."