I wasn't able to reproduce this. I charged while playing the game. My battery was around 6%. My COD graphic settings are - Frame Rate: Very High(max setting) and Graphic is set to low(lowest setting). You can try and see if the problem still persists.
I have attached my Gaming Profile (From Armory Crate) which I had downloaded from one reddit (it is suppose to be the best setting for COD)
To apply this setting - - > Armoury Crate - - > COD- Select Scenario Profile - - > Click on Download button at top right corner and then select this profile.