The 20-year-old German has enjoyed a successful year, as Masters tournament victories in Montreal and Rome have helped propel him up to number three in the world rankings and ensured him a place in the end-of-season ATP Finals at London's O2 Arena.
Veteran duo Roger Federer and Rafael Nadal stand in Zverev's way of the world number one spot, while a host of top players including Britain's Andy Murray and Serbian Novak Djokovic are currently sidelined because of long-term injury problems.
That has helped the youngster climb the rankings, but Zverev is confident that he will be able to challenge for top honours next year even when everybody is back fit.
Zverev, who plays Marin Cilic in his first ATP Finals match on Sunday, said: "I've had a great season. Winning two Masters is special for any player. The top four has been dominating that level of tournament.
"Nobody has won two Masters in one year for 10 years, outside those big four. That's a great achievement for me."
"There's a lot of question marks of how they're going to come back. But they're great players. They're always going to be tough opponents.
"This is something I don't think about. I just want to try to keep playing the best I can, try to improve and try to compete in the biggest tournaments. It's as simple as that."