Are you sure you heard that right? There is no research to back up either claim. Both ears are constructed the same but of course one could have some hearing loss making the other ear the preferred one for phone calls.
As an example, there Maniere's Disease that can affect hearing in one ear and sometimes both as it progresses.
https://en.wikipedia.org/wiki/Ménière's_disease
The fluid of the inner ear is the same in both ears.
Electromagnetic waves of mobile phones, are non-ionizing radiation and are generally considered safe at the levels at which we are exposed to them. Numerous scientific studies have been conducted and the consensus is that there is no conclusive evidence to link mobile phone radiation to harmful health effects.