Although leaf damage cannot heal itself, new growth should look better over time (and help to cover-up the old damage) if the issue can be resolved. A few of the worst-looking leaves can be clipped off, if you prefer.

The cause of leaf-edge "burning" like this is hard to diagnose from symptoms alone, but could be due to low indoor humidity, over- or under-watering, over-fertilization or salt buildup in the potting mix (as explained in our reply to your other submission), and for some species like this Dracaena, possibly a sensitivity to fluoride in municipal water sources. If the latter is the primary reason, switching the water source to either distilled (certain types of filtered water might also remove fluoride), or a dilution of tap water with distilled/filtered water may help to prevent the symptoms from worsening or appearing on new growth.

Dracaena appreciate bright indirect light when grown indoors, so position the pot (if possible) in the path of some filtered sunlight or close to a window that doesn't receive much direct sun. (Though direct sun in winter isn't very intense, and should be fine for just about any indoor plant.) Avoid having the foliage touch the glass if it will be chilled, or be directly in the path of a cold draft or warm, dry draft from a nearby heat vent.

Miri