The decision followed a management meeting yesterday involving coach Peter Moores, captain Kevin Pietersen and senior players Paul Collingwood and Andrew Flintoff.
Shah said: "Sport at this level is more mental than anything you do in the field so we feel if we can make the mental adjustments it should put us in a better frame of mind."
He will leave England's squad after the final one-day international in Delhi next Tuesday to help Middlesex's Champions League campaign, providing he is not needed for the three-day warm-up match in Baroda starting on 5 December.
"If I am not involved in that three-day game then there is an option for me to play for my county rather than carry drinks," said Shah.