The in-form side had already guaranteed top spot in Group A and a berth in the quarter-finals, but their record of five wins from five matches sends a strong message to their rivals.
Kazakhstan were playing for pride, as their last defeat - against Italy - sealed their fate.
Croatia took the lead within 30 seconds of the start from a man-up goal and kicked on to take the period 4-0.
The Kazakhs fared better in the second quarter as they shared the spoils with their opponents with one goal apiece.
Croatia stepped up a gear in the third period to forge a six-goal lead and take the score to 9-3 at the whistle.
They increased their advantage further in the final period to score three more goals before Kazakhstan netted from distance to make the final score 12-4.
Driver Miho Boskovic netted a brace for Croatia, with Maro Jokovic, Ivan Buljubasic, Sandro Sukno and captain Samir Barac all scoring one each.
Kazakhstan captain Yevgeniy Zhilyayev found the back of the net twice, as Sergey Gubarev and Alexey Panfili contributed one apiece.
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