Be a solution. Granted there are never enough hours in the day for a Chef to get done what needs to get done majority of the time, but find ways to make your livelihood better there. If taking ownership in getting rid of mice or bugs will help you feel more comfortable and confident to do your job to the best of your ability for example, then make it happen that's what chefs do. There are a million ways to get from point A to point B and not everyone will agree on a path, but pick one and own it. I am not standing up for him, but use these standards and trust in your moral compass and remember them to better yourself at that place and where ever you may end up in the future.