Found solution:

function inputHandler (event) {
  var query = event.detail.query;
  var optionsArr = Array.prototype.slice.call(this.querySelectorAll('q2-option'));
  
  optionsArr.forEach(function(option) {
    alert(options.value);
  });
}

Hello,

<q2-select label="Field Label" onClick={(e) =>console.log(e.target.value, 'value')}>
	<q2-option value="1" display="Option 1"> Option 1 </q2-option>
	<q2-option value="2" display="Option 2"> Option 2 </q2-option>
	<q2-option value="3" display="Option 3" disabled> Option 3 </q2-option>
	<q2-option value="4" display="Option 4"> Option 4 </q2-option>
</q2-select>

We can track the value of the dropdown options with the help of onClick event. We can get the value by logging "e.target.value". The above code snippet is an example.

Thanks,

Saikiran

www.nuevesolutions.com