Answer
The statement is false.
Work Step by Step
To remove an electron from the atom or ion, energy must be provided. So, ionization process is in fact a reaction that must be provided energy so that it would happen.
Since ionization process is a kind of reaction that requires energy, according to universal agreement, the energy that must be provided (the ionization energy) would be taken to be positive.
Therefore, ionization energies are always positive quantities. The statment is false.
