[JRTJH]

Probably the easiest "fix" would be to cut a "2 sided flap" (a 1" cut should be more than sufficient), lift the vinyl, use a screwdriver to remove the screw (or a claw hammer if it's a nail: be sure to protect the vinyl when pulling the nail). If you think the screw is "important to floor integrity" you can use locktite or liquid nails adhesive and reinstall the screw. Once that's done, use some adhesive, fold the flap down and weight it down with a heavy flat object for about 24 hours. Then, use a "vinyl seal sealer" product to reseal the top coat. It should be "nearly invisible" if you're careful with your cut and use a SHARP RAZOR BLADE to do the cutting.

One of the "tricks" I use when gluing the flap back in place is to clean any adhesive off the surface and put a piece of wax paper over the repair before weighting it. That way, the adhesive won't stick to the weight. Cleaning the wax paper from the repair is much easier than pulling the vinyl off the floor while trying to remove the weight !!!!!