To a native speaker, this sentence sounds very odd in English. Is this supposed to mean to put something "on ice" or to put something "in the freezer" or "in the cooler"?
If you are at an outdoor party, without fridge, you can have a big bucket that serves as fridge, full of ice.
(I would rather say "Mettiamo" than "Poniamo", poniamo is correct but not so common)