Zinc is generally not a magnetic metal. However, it can be made slightly magnetic when exposed to a very strong magnetic field, but this property immediately dissipates as soon as it is removed from the field.
When melted zinc is exposed to a magnetic field, it begins to conduct a small amount of electricity, which creates an oppositely charged magnetic field. Since the two fields are oppositely charged, they repel each other, causing the liquid zinc to move away from the magnetic. However, it is the electrical current causing the magnetic field, not the zinc itself. Pennies made in 1982 or later contain zinc.