This is permissible, because the asl (basis) is: permissibility. There is not to be found any evidence to prove the forbiddance of this.
And in accordance with the generality of the statement of Allaah in the description of the People of Understanding:
Those who remember Allaah standing, sitting and lying on their sides.
Surah Aale ‘Imraan (3) aayah 191
And recitation of the Quraan is from remembrance.
And with Allaah is the tawfeeq. And may peace and blessings be upon our Prophet Muhammad and his family and his Companions.