The left-back made the move to the Gunners earlier this summer from champions Manchester City and has adapted well to life with his new club.
Zinchenko, 25, has helped Mikel Arteta’s side win all three of their opening games of the new Premier League season.
They won 3-0 away at newly promoted AFC Bournemouth this weekend, with goals from Martin Odegaard (x2) and William Saliba.
Although new recruit Gabriel Jesus has been making the headlines over recent weeks, Keown has praised Zinchenko for his influence so far.
“Absolute class,” Keown said. “He really is. It is another level for these young players to aspire to what he does on that left hand side of the pitch.
“I was a bit worried about him defensively when he first came, he didn’t get much of a pre-season, but look how assured he is.”
He added: “He gets forward and gives Arsenal a level of control. He’s a real game controller for Arsenal.”
Zinchenko spent the past six years on the books at Manchester City and made 128 appearances for the North West giants, chipping in with two goals.
He helped them win the Premier League four times, the Carabao Cup four times and the FA Cup once during his time at the Etihad Stadium.
Pep Guardiola gave him the green light to head to the Emirates Stadium in late July and he hasn’t looked back since.
Arsenal are back in action next weekend and take on fellow London club Fulham at home as they look to make it four wins in a row.