Unfortunately it sounds as if the bleach has eroded the vinyl s wear layer to the point where it s begun to flake off.
Is bleach safe on vinyl flooring.
Bleach is highly slippery when used on a smooth surface such as a tile or vinyl floor.
There s good news and there s bad news.
For mopping floors ceramic tile vinyl linoleum not marble or other porous surfaces that aren t safe for bleach mix up a solution of cup bleach added to 1 gallon of water or cup if you are using new concentrated clorox regular bleach 2.
It s vitally important to thoroughly rinse the bleach away after use to ensure that your floor isn t slippery and that an unsuspecting person doesn t slip and fall.
These cleaners are corrosive and can damage your floors.
Instead you need to look for ph neutral cleaners.
This kind of damage is irreparable and there are no coatings or sealers that will solve your problem.
For disinfecting wipe or wash the floor then apply the bleach solution and let stand for 5 minutes.
General guidelines for cleaning vinyl floors you should avoid cleaning vinyl floors with ammonia or bleach.
The best cleaners are ph neutral ones such as plain water or a solution of 1 ounce of mild dish detergent per gallon of water.
High ph detergents are corrosive and can damage the flooring.
Vinyl fabrics even colored ones can generally be safely treated with a clorox regular bleach2 and water solution so you have a pretty good chance of success.