You could rent an air lifter. It's simply a reverse vaccum that fills a pad placed under the fridge. Once filled, it allows very easy movement and more important in your case, gently lowers it back down to the floor once in place.Check rental yards in your area as well as flooring companies who might rent you a unit. They are used by installers all the time for heavy,akward appliances, furnitures, etc.

I have a large kitchen and when I put down floating engineered floor I did just what you're asking. It's really not an issue as long as starting in that area dosn't conflict with the rest of the layout.
Generally you'll need spacers along the wall so once you install that section of floor leave the spacers in place, reinstall the fridge, finish the rest of the floor then pull out the fridge to remove the spacers.

Thanks... I'm glad to know that someone has done this before. I guess if it affects the layout, we could start in the other area first. Thanks again for the tip.

Rolling the fridge out, installing the flooring and immediately pushing the fridge back will work just fine. But, beware using cheap flooring. Also, in a wet area like a kitchen or bath be sure to seal the pieces together.

Elmer's glue works just fine. Run a very small bead of glue on the flange of the piece of flooring that is down, and install the next piece. You'll see the glue squeeze out, so just wipe it with a wet cloth. Pronto, your new floor is waterproof from spills and everyday usage.

Let me again suggest to you to bite the bullet and buy GOOD FLOORING. I will usually only install Pergo, and I always buy the pre-padded type. In my area it runs about $3.30 sq ft, but the time and trouble avoided by not having to lay down the padding is worth it. On the home improvement shows, I've seen installers using Painter's tape to hold the pieces toghether. If you have to use tape, you've really bought some junk flooring. Good luck.

Also be sure to run a bead of silicone in the gap between the wall and flooring before installing baseboard/shoe moulding. This is a good idea to do in kitchens and baths when using laminate. The silicone still allows the florring to expand/contract.