Kesseler says eggs are definitely something to store in the fridge. According to EggInfo.co.uk, eggs should be kept at a steady temperature, ideally below 20°C – it’s bad for them to fluctuate between warm and cold, so keeping them on your counter, even in their box, isn’t ideal. If you’ve got a cool pantry with a constantly low temperature, that’s fine, but a fridge is your best bet.
Article source: https://www.huffingtonpost.co.uk/entry/all-the-ways-youre-storing-food-and-drinks-in-the-fridge-wrong_uk_62611d36e4b0dc5d7b6aaf29