Everton managed an eighth place finish in the Premier League last season.
“I think in my time at Everton we’ve now got as strong a squad as we’ve ever had so I’m looking forward to it (the coming season),” Moyes said.
“I’m looking forward to having a season with them and seeing how it goes.”
Moyes insists he will not make his goals for the upcoming season public.
He said: “No, I’m not a great goal-setter.
“I think you take the next game and you get on with it and you see where you end up.
“But we’re ambitious and we want to do well and we’ve got a great desire to do better than what we’ve done in the past so we’ll just try to keep it going and hopefully see where we end up.”