He has been told to rest for six weeks, and could also be doubtful for next month's home series against Sri Lanka.
Chanderpaul sustained the injury taking a catch to dismiss Adam Gilchrist in the fourth and final Test. He still made 104 as West Indies struck a record 418 for seven to win the match.
He was named Man of the Match for his pains, but his absence has further weakened an already inexperienced one-day squad.