Praise be to Allah.
This question was answered for us by Shaykh ‘Abd-Allaah ibn Munayyi’, who said:
“This is not permissible, and if he believes in it, it is bid’ah.”
Every dhikr that involves reciting a certain number of times, or in a certain place, or at a certain time, or in a certain manner, that is not prescribed in sharee’ah, is bid’ah. With regard to the Most Beautiful Names of Allaah, the way to use these in worship is to call upon Allaah by these Names, as He says (interpretation of the meaning), “And (all) the Most Beautiful Names belong to Allaah, so call on Him by them…” [al-A’raaf 7:180]. Merely reciting them in certain combinations is not a prescribed form of worship. And Allaah knows best.