How do I remove magnetic marks from the side of my refrigerator?

Magic eraser. Works every time

Magic Erasers. Perhaps one of the most effective, and inexpensive, cleaning products currently on the market is the Mr. Clean Magic Eraser. This cleaning product will get rid of most, if not all, stains that you can come across including magnet stains. All you need to do is get one a little damp, and then start rubbing the stained area. You should notice that the magnet stains begin to lift almost immediately. ***** Goo Gone. Another effective method for dealing with magnet stains is to use a product called Goo Gone, which can be purchased at most local department stores. Simply apply a heavy coating of the product to the stained area according to the direction on the package. Let it sit for a while (no longer than what it says on the packaging, though 15 to 20 minutes should be enough time) and then rub it away with a damp clean cloth. If necessary repeat the process to completely remove the stain.

If not, I suggest trying with vinegar-water-detergent mix.

Try vinegar

Then try bar keepers friend and see if that gets the marks out. It does on corning ware.

If that does not work, you can purchase Rust-Oleum 203000 .6-Ounce Specialty Brush Bottle Appliance Touch Up, White or any color from Amazon for approximately $4.00