According to the reactivity series of metals, Copper is less reactive than Zinc. Since Zinc sulphate is a colourless solution in water, the colour of the solution may be changed if any other species displaces zinc from there.
Since Copper is less reactive than Zinc, it will not displace Zinc, and doesn’t bring any change in colour.
Final answer: Adding Copper to Zinc sulphate will not give any colour to the solution.