The full-back featured in a Manchester City side that came from two goals down to beat Aston Villa 3-2 at the Etihad Stadium on Sunday, securing the Premier League title in the process.
Zinchenko told Sky Sports News after the game: "It's unforgettable emotions for me. For all Ukrainians which at the moment are starving, they are surviving, in my country because of Russian aggression.
"I am so proud to be Ukrainian. I would love to one day bring this title to Ukraine. For all Ukrainian people because they deserve it."
"It [support] means everything to me. I want to die for these people. For all this support because what people gave me, what they have done for me during this period, the toughest period of my life, I am so appreciative. I will never forget this. Never in my life."
Zinchenko also highlighted how difficult it has been to focus on football in recent months.
The 25-year-old told reporters: "Honestly at some point, especially in the beginning, I didn't even think too much about football.
"It's impossible to live in the same time with what is happening in my country. But with all the support I've had we did it."
The Manchester City player, who draped a Ukrainian flag over the Premier League trophy following the Premier League win, is expected to feature in next month's World Cup qualification playoff against Scotland.