Answer (1 of 2): NO! It will make a mess of the fabric, and more so when it hits the water. Use a “laundry marker pen” especially made for the purpose. You can usually find them in the soap aisle.
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* Porous-tip laundry marking pen makes laundry marking quick and easy * Marks permanently on cloth without bleeding or feathering * Sanford Ink
Sharpie Rub-A-Dub Laundry Marker, Pack of 3 (SN31101PP-2)
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Great for marking clothes Manufactured by;: Sharpie
Sharpie Rub-a Dub Laundry Markers Black, 2pk