Copper is below hydrogen in the reactive series. Only a more reactive metal can displace a less reactive metal but Copper is less reactive than hydrogen and hence cannot liberate hydrogen from acids.

Cu + 2H₂SO₄→ CuSO₄ + SO₂ + 2H₂O

3Cu + 8HNO₃→ 3Cu(NO₃)₂ + 2NO + 4H₂O