The Russian national team and Russian clubs were banned from international competitions earlier this year by UEFA following the invasion of Ukraine.
"All Russian teams are currently suspended following the decision of the UEFA Executive Committee of 28 February 2022 which has further been confirmed by the Court of Arbitration for Sport on 15 July 2022," European football's governing body said in a statement.
"Russia is therefore not included in the UEFA European Football Championship 2022-24 qualifying draw."
Russia saw an appeal against the ban rejected by CAS in July.
"The Union is currently awaiting for the full text of the CAS decision, following the study of which a decision will be made on further steps," the Russian Football Union said.
Russia were also banned from the upcoming World Cup in Qatar by FIFA.
The team had originally qualified for the European qualifying play-offs.
The Russian women's side were also kicked out of this year's Euro in England, with their place taken by Portugal.
The 2024 European Championship will be hosted by Germany, with the qualifying draw set for October 9 in Frankfurt.
Germany's interior minister has also asked for Belarus to be banned from the tournament due to the country's backing of Russia.