The winger injured his knee on the opening day of the season in the loss to Huddersfield and Roy Hodgson confirmed he is expecting Zaha to be involved for the visit of the champions.
Defender Scott Dann has recovered from a slight knock and could also return to the starting line-up as Palace look to get their season up and running.
Christian Benteke is still sidelined with a knee injury and is not due to be available until next month, while loanee Ruben Loftus-Cheek is ineligible to face his parent club.
Chelsea are reported to be in the hunt to sign Aston Villa midfielder Jack Grealish but face strong competition from Tottenham.
Bayern Munich chairman Karl-Heinz Rummenigge says they will listen to offers for Jerome Boateng if a club make a move for him.