He was born and raised in Ra'anana, Israel, to a religious Jewish family of Ashkenazi Jewish descent. He attended a yeshiva, and observes the Shabbat. He married his Israeli fiancée Dana (née Hunter) in 2019. Kanichowsky made his professional debut for Hapoel Petah Tikva in the Israeli Premier League on 22 August 2016, starting in the match against Maccabi Netanya, which finished as a 0–0 home draw. In 2018, Hapoel Acre, who Kanichowsky was on loan with, exercised their option to sign him permanently from Maccabi Tel Aviv. He then joined Maccabi Netanya for the 2018–19 season. He has been a youth international since 2015. Between 2017–2018, he was part of Israel under-21s. He was first called-up for the senior Israel national team in November 2021, during their 2022 FIFA World Cup qualifiers – UEFA. He debuted for the Israel national team in a friendly 2–0 loss to Germany on 26 March 2022. He scored his first international goal on 12 September 2023, in their 1–0 win over Belarus during the Euro 2024 qualifying.