the question is too broad. Depends of the battery and depends where do you connect it to.
define first a battery reaction and where it is connected to define if the reaction is endo or exothermic.
If a battery reaction is exothermic when it is connected to a circuit may be endothermic when it is charged (reverse reaction).
some batteries at low temperature tends to work less, that suggest, they may need absorb some energy from the surroundings.
