Zinchenko: No one is laughing at Arsenal's title ambitions now
Ukraine international Zinchenko joined Arsenal from Manchester City prior to the season, bringing title-winning pedigree having won the league four times with the reigning champions.
Zinchenko has been crucial to Arsenal's winning run with his calm presence at the back and flexibility in attack. Sunday's 3-2 victory over Manchester United moved Arsenal five points clear of City at the top of the standings, with a game in hand.
"To be honest, when I had just arrived, the quality I saw...Obviously, I knew the Arsenal team, I knew all of them before, but still I realised on the pitch we have everything to achieve big things," Zinchenko told Premier League TV.
"I started to speak in the dressing room, saying: 'Guys, forget top three or whatever, we need to think about the title.' Some of them were laughing but no one is laughing now and all of us are dreaming.
"But still there's a lot of games to play and now you can see (Manchester) United is back. City, as always, is there. Let's see what is going to happen, but we need to move step by step."
Arsenal have not won the league since their 'Invincibles' squad won the title in 2003-04 under former manager Arsene Wenger.
Mikel Arteta's side will next turn their attention to the FA Cup where they take on Zinchenko's former club in a fourth-round clash at the Etihad Stadium on Friday.