There are some creatures such as wood frogs that freeze solid when winter comes and thaw out in spring. Nature proves that it is possible.
It has been done in labs to small creatures such as hamsters that do not naturally survive winter this way. Embryos of many mammalian species can be frozen, thawed, and they gestate normally when reimplanted.
The big problem is ice crystals. If water is frozen suddenly it forms a glassy material inside cells which locks the biological elements in place and pretty much stops all chemistry. When a cell in this state thaws it resumes as it was before freezing. But if water freezes more slowly it forms sharp crystals which cut the biological elements of the cell to shreds. When thawed it is so badly damaged it usually dies pdq.
The larger an animal the harder it is to cool it fast. Nature has evolved some species with special.polymers in their cells that inhibit the formation of ice crystals. Hence wood frogs. Mammals, even the ones that hibernate, lack these. A hamster can be artificially frozen fast enough to get its water to glass without crystallising. A human is too big.
Hopeless? Not if you permit genetic modification of humans to express a protective factor in all cells in their bodies, like wood frogs. Probably beyond us today, and there are big ethical issues even if it were ever proved possible with other primates.
How long could a properly frozen animal survive? Close to absolute zero all normal chemical activity will stop. The limit will be the accumulating damage caused by natural radiation. If that is above the level that a body's self repair mechanisms can handle, the creature will die soon after being thawed. So one can get a rough estimate by finding out the lethal dose of radiation in one flash and calculating how many years of natural radiation accumulation is the same as that flash.
Edit. I looked up radiation doses. Typical natural background radiation is 3 milliSieverts per annum. Three Sieverts at once is usually lethal. So if the ice problem is solved a frozen body would probably be viable after a century and probably dead before a millennium had passed.