The Spaniard, 25, is dreaming big after netting in the 3-2 win over Arsenal last weekend following a disappointing debut season in the Premier League.
Morata blames injuries and a drop in confidence for his dud 2017-18 but has set high targets for himself this year.
Recalling the Gunners win, the former Real Madrid star said: "I'm very happy because it was three very important points against Arsenal.
"In the Premier League I think if you win your first five games you're in the fight because here in every game you can lose or drop points.
"The last year was very hard for me, not just with confidence.
"The injury [last season] was very bad for me and my head, but when the ball goes into the net everything changes.
"Your mind isn't blocked anymore and I hope now I can score a lot of goals.
"For sure I want to score more than 30 goals, but I would prefer to score 15 or 20 and for us to win the Premier League or another big trophy.
"I want to score many goals but the most important thing is the team."
Morata went on to say he thinks Chelsea, on their day, are one of the best in the world, adding: "I think we play good football when we have the ball.
"We need to improve on small things but it's only been one month since we've all been together with the manager.
"I think if we continue like this we can play against any team in the world."
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