Through a capacitive model, the properties of flexible quantum dots interacting with phonons are studied. Usual quantum dots properties like charging energy and bias window become deeply modified. In the phononic emission-absorption process, we show the existence of forbidden regions where neither absorption nor emission of phonons can happen. The forbidden regions are related to the regime where the phononic-band-size is smaller than the charging energy. Finally, we derive the conditions for electrical current existence through flexible quantum dots. (C) 2013 Elsevier B.V. All rights reserved.