Inglis has not recovered from a calf strain, while the other wicketkeeper in the original squad, Alex Carey, is scheduled to play a Sheffield Shield match as part of his preparations for the Ashes test series.
Josh Philippe has been brought into the squad to keep wickets in Perth.
Matt Kuhnemann also comes into the squad to replace spinner Zampa, who is missing the first of three ODIs against the Indian tourists for paternity reasons.
Zampa's partner is heavily pregnant with the couple's second child on the north coast of New South Wales, making a whirlwind trip home from Perth immensely difficult at such short notice.
Cricket Australia said Carey will rejoin the squad for the second ODI in Adelaide on October 23rd, while Inglis is hoping to be fit to play the third match of the series at Sydney Cricket Ground on Saturday week.
