Peacock confirmed he is to take up the role next week with a view to reviewing external agency relationships.
He has served as chief comms officer at the ISP since January 2000.
It was reported last week that Hutchison had put retained agency Firefly on notice after four out six directors left (PRWeek, 6 September).
Hutchison also uses Lexington Communications for PA, but head of external relations Ed Brewster said: 'We're not carrying out a review of government affairs support'.
Peacock will report to strategy and marketing director Lisa Gernon. Hutchison is to roll out its service, which has the brand name 3, later this year.
AOL has not yet decided if or when it will replace Peacock.