Cherry cabinets are better served by wood floors that contain hints of gold yellow blondes reds and violet reds mostly analogous warm colors or side by side colors on the color wheel.
Grey wood floor with cherry cabinets.
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Apr 25 2017 all about cherry hard wood floors and grey walls.
So long as you have a blue gray you can have a strong contrast which highlights both the cabinets and the floor colour.
You already have a blue based gray tile in the kitchen up against the cabinets.
Go with either a lighter or darker stain for hardwood floors or choose a light colored vinyl linoleum or tile floor which creates a contrast with the cabinetry.
While you can use a similar stained hardwood floor color with cherry cabinets in a small kitchen the effect would close the room in.
Cherry wood cabinets can be paired with a multitude of hardwood flooring materials that will showcase or compliment your cabinets.
Cherry can work very nicely with blue.
You can see it just in the background of your first photo.