"The planet's immune system is doing everything it can. The planet's immune system is doing everything it can."
- Kurt Vonnegut, Jr.

Written as "corpseicle", the word can be found earlier, but not in a science fiction story. Writing in Report on the Slow Freeze, published in Worlds of Tomorrow in 1966, RCW Ettinger:

Ev Cooper, who fortunately has independent means, devotes full time to the work without remuneration. His wife, Mildred, has made many contributions, including a new name for the frozen, brittle people; Homo Snapiens, (This is certainly more dignified than Fred Pohl’s “corpsesicles.” I think it was also she who summarized the recent situation by saying, “Many are cold, but few are frozen.”

More than 100 people have been frozen since the first person placed in "cryonic suspension" 1967. Alcor provides you with some options; just have your head frozen for $50,000, or have your whole body frozen for $120,000.

Interestingly, Alcor does not really freeze your tissues:

Alcor's most advanced procedure is called "vitrification". In vitrification more than 60% of the water inside cells is replaced by a mixture of cryoprotectant (antifreeze) compounds so that tissue does not freeze (or freezes negligibly) during cooling. Instead, below a temperature of -130 degrees Celsius, the tissue becomes a rigid glass with no ice crystal damage. Chemistry is stopped, and tissue is stable essentially indefinitely.

And, best of all, the root word for "quiescently" means "in a restful state." Requiescat in pace, popsiculo.

Apparently, many science fiction writers were offered free services, and turned it down. Robert Heinlein said “How do I know it won’t interfere with my next stage?” Isaac Asimov said “I don’t think I should impose any kind of cost on the future, even the cost of just topping off my nitrogen.”

Not quite ready to be a popsicle? Try a few months in the hibernaculum, from 2001: A Space Odyssey by Arthur C. Clarke.