Putting a fully charged battery in a refrigerator will not immediately drain it. Battery life is primarily affected by chemical reactions and power/current consumption of connected devices or circuits. While cold temperatures can slow down the rate of self-discharge in some batteries, they do not have a significant immediate impact. Moreover, some specialized batteries, like lithium-ion, perform best at warmer temperatures.
However, prolonged storage of any battery at extreme high or low temperatures can harm the overall battery life and capacity over time. Extreme temperatures can cause damage to battery components, reducing their effectiveness.
It's important to follow the manufacturer's recommendations for proper battery storage and usage to maintain the health and longevity of your battery.