While gold roses don’t occur naturally, the idea of a golden rose has existed for centuries as a symbol of rarity, achievement, and lasting beauty. One of the most famous examples is the Golden Rose, a ceremonial ornament traditionally given by the Pope as a special honor during the Middle Ages and Renaissance. In modern times, the concept appears in gold-dipped real roses, metallic decorative roses, and gold-colored preserved flowers, often given as keepsake gifts meant to last longer than fresh blooms. Like their Animal Crossing counterpart, gold roses in the real world tend to represent something rare, carefully cultivated, and a little magical.
The Forever Rose was one of the originators of the concept of dipping real roses into real gold to preserve them (Yes, it's hard to believe, but these start out as real roses that are overlaid with gold; the flower inside gets destroyed, but its shape is permanently preserved.