During the Cold War, such type of helicopter would have been shot down by a U.S. warship.
However, on Apr. 11, 2012, as the following picture shows, a Kamov Ka-31 helicopter belonging to the Indian Navy landed on the flight deck of the Ticonderoga-class guided-missile cruiser USS Bunker Hill (CG 52) during Malabar 2012, a regularly scheduled naval exercise conducted to advance multinational maritime relationships and mutual security issues.
Image credit: U.S. Navy