The 29-year-old joined Juventus on a season-long loan during the summer window, with an option for the Serie A club to make the deal permanent for around £8.5 million, after falling behind Kinský in the pecking order following De Zerbi's arrival at Spurs in April.
Vicario, who Tottenham signed from Empoli for £17.2 million in June 2023 to replace the long-serving Hugo Lloris, did not feature at all under the Italian coach, missing the final seven games of last season through injury while Kinský seized his chance and never let go of the jersey.
Speaking to Sky Sports Italia, Vicario reflected warmly on his relationship with the head coach despite the way his Tottenham career ended.
"Fantastic, from the first day," he said. "I thank him, I did it personally the day I signed with Juventus. With me, he was a real person, direct and above all, a man of his word. He gave me the opportunity to take this step that I had in mind. He supported me, and I will always be grateful to him."
On his three seasons in north London, Vicario suggested there were unresolved tensions behind the scenes that ultimately led to his exit, though he declined to elaborate.
"There have been some dynamics that have not aligned, probably for several reasons that make no sense to mention now," he said.
Vicario conceded the only shot on target he faced as Juventus drew 1-1 with AC Milan at the Allianz Stadium on Sunday, a result that also featured Randal Kolo Muani, who followed him to Turin after a difficult loan spell at Tottenham last season. The France international scored just once in 30 Premier League appearances during a campaign in which Spurs narrowly avoided relegation, but said he holds no regrets about his time in England.
Speaking to Corriere della Sera, Kolo Muani reflected on the tactical adjustment required by his move to Italy.
"English football is really a continuous box-to-box, from one penalty area to another, while in Italy the game is extremely tactical," he said. "You have to play with your head and not just with your feet. And then you work hard during the weekly training sessions, but I feel good."
Asked about his struggles in the Premier League, the striker insisted he does not dwell on setbacks.
"I'm someone who doesn't drag negative thoughts with me," he said. "I work to forget the mistake immediately and focus on the next move. As Spalletti tells us, we must always stay on top of things. You have to think about the present."