Fletcher and Park Ji-Sung (both knee) have stayed at home along with Giggs, Rooney and Evra, while United also have doubts over Nemanja Vidic and Dimitar Berbatov.
The Serbian defender is suffering with an ankle injury that also kept him out of the 2-1 win over Bolton at the weekend while Berbatov also picked up a knock in the win over the Trotters.
If Vidic fails to make the match it should mean Jonny Evans continues to partner Rio Ferdinand, while Danny Welbeck could come into partner Michael Owen upfront if Berbatov is ruled out.
Ferguson likes to play with a lone striker in Europe especially in away games so Owen may start upfront on his own against CSKA.
Edwin Van der Sar made his first appearance of the season at the weekend and should continue in goal having come through the game unscathed.
Gary Neville made only his second Premier League start of the season on Saturday and despite performing admirably, he could be replaced by regular right-back John O'Shea.
Giggs' absence could give Nani the chance to stake his claim for a start while Paul Scholes will also be pushing for a recall having started on the bench against Bolton.