A transparent, colorless glass or glass-ceramic panel has a visually dense, high-temperature-stable coating having an organic/inorganic network structure containing filling material particles and a color-imparting pigment. The mechanically stable, visually dense coating has no melt-reaction zone at the surface of the panel, which is coated with the coating, so that it does not impair the panel strength. The inorganic network structure can be made from a SiO.sub.2-based sol. The coating is made by introducing the color-imparting pigment and the filling material particles into a reactive organic/inorganic network structure; applying the resulting organic/inorganic network structure containing the pigment and the filling material particles to the panel to coat the panel and then burning-in the organic/inorganic network structure with the pigment and the filling material particles under thermal conditions to form the coating with no melt-reaction zone.