He also insisted that Mr Trump must meet with him before he meets with the Russian president, "otherwise it will look like a dialogue about Ukraine without Ukraine".
Earlier this week, Mr Trump said he wanted Ukraine to supply the US with critical resources in exchange for financial support in its war with Russia.
It comes as Mr Trump said he may meet with Mr Zelenskyy in the White House as early as next week.
Volodymyr Zelenskyy has told Donald Trump "let's do a deal" as he offered the US a partnership over Ukraine's stores of rare earth and minerals.
Showing a map of Ukraine's mineral deposits, he then said Russia currently has control of less than 20% of the country's mineral resources - but that includes about half its rare earth deposits.
