On 21 June, Alan Dzagoev signed a new two-year contract with CSKA, keeping him at the club until the summer of 2021.[5] On 27 June, Arsenal Tula announced the permanent singing of Sergei Tkachyov from CSKA.[6] On 29 June, Slaven Belupo announced that Zvonimir Šarlija had moved to CSKA Moscow,[7] with CSKA confirming the season-long loan deal, with the first option to buy, on 1 July.[8]
On 16 March, CSKA's home game against Zenit St.Petersburg scheduled for 22 March, was postponed after the Mayor of Moscow banned outdoor sporting events due to the COVID-19 pandemic.[26]
On 15 May, the Russian Football Union announced that the Russian Premier League season would resume on 21 June.[30]
On 20 May, CSKA announced that Viktor Goncharenko had extended his contract with the club until the summer of 2021.[31]
On 16 June 2020, CSKA announced that youngsters Nikolay Zirikov and Yegor Teslenko had left the club at the end of their contracts, whilst Aleksei Sukharev had also left the club after his loan deal expired.[32]
On 23 June 2020, CSKA announced that Sergei Ovchinnikov would take charge of the team for their upcoming fixture against Dynamo Moscow on 27 June due to Viktor Goncharenko feeling unwell.[33] Later the same day, CSKA announced that Konstantin Maradishvili had extended his contract with CSKA Moscow until the summer of 2025.[34]
Note: Flags indicate national team as defined under FIFA eligibility rules; some limited exceptions apply. Players may hold more than one non-FIFA nationality.
Note: Match originally scheduled for 22 March, before being postponed on 16 March due to the COVID-19 pandemic.[26] with all league games being postponed on 17 March.[27]