"I'm going to go match by match because I still don't think I'm the favourite in these matches," he said of his approach in Auckland.
"Rankings-wise, I'm not better than who I'm going to play in the first round or in the second round.
"But I just want to - as soon as possible - go in the top 50, the top 30, whatever. I don't want to stay here. It's good now being in the top 100 but I want to go up as soon as I can."
A repeat of last year's breakout season, when he rose 250 spots in the world rankings, will aid that goal. After reaching his first ATP quarter-final in Croatia, Coric qualified for the US Open and knocked out world No29 Lukas Rosol in the first round.
That burgeoning form continued in Basel, where he beat Heineken Open top seed Ernests Gulbis before advancing to the semifinals by dispatching world No3 Nadal, a player he idolised while growing up.
"At first I just couldn't believe that I was going to play him and I didn't know exactly what to expect," Coric said. "[Nadal] obviously didn't play his best tennis. He was struggling, especially in the first set - I was leading 5-0 and that's not normal.
"It meant a lot to me but I can't look any more in the past. I have new tournaments coming and new matches coming, so I need to focus on them."